1728 + Mcqs in Time and Work Page 22 McqOptions

1051.	A tank can be filled by a pipe P in 32 minutes and by pipe Q in 36 minutes. When it is full, it can be emptied by a pipe R in 20 minutes. If all the three pipes are opened simultaneously, half of the tank will be filled in ________.
A.	\(55\frac{3}{5}\;minutes\)
B.	\(55\frac{13}{3}\;minutes\)
C.	\(55\frac{5}{13}\;minutes\)
D.	\(55\frac{2}{5}\;minutes\)
Answer» D. \(55\frac{2}{5}\;minutes\)

Discussion

1052.	Ram and Shyam can complete a task in \(6\frac{2}{3}\) days and 15 days, respectively. The work together for 4 days, and then Ram leaves. In how many days after Ram leaves, will Shayam complete the remaining task alone?
A.	2 days
B.	3 days
C.	4 days
D.	\(1\frac{1}{2}\) days
Answer» B. 3 days

Discussion

1053.	A earns Rs. 100 per hour and works for 8 hours per day. B earns Rs. 120 per hour and works for 6 hours per day. The ratio of per day wages of B to that of A is:
A.	10 : 9
B.	9 : 10
C.	4 : 5
D.	5 : 4
Answer» C. 4 : 5

Discussion

1054.	In a fort, there was sufficient food for 200 soldiers for 31 days. After 27 days, 120 soldiers left the fort. For how many days will the rest of the food last for the remaining soldiers?
A.	12 days
B.	10 days
C.	8 days
D.	6 days
Answer» C. 8 days

Discussion

1055.	A can finish a task in 45 days and B can finish the same task in 30 days. They work together for 3 days and then A leaves. In how many days will B finish the remaining task?
A.	5
B.	18
C.	25
D.	20
Answer» D. 20

Discussion

1056.	10 people could complete a task in 8 days. After 4 days, 2 of the workers left. How many days from then did it take to complete the remaining task?
A.	7
B.	8
C.	6
D.	5
Answer» E.

Discussion

1057.	Aman and Raman together complete a piece of work in 30 days, Raman and Manan can complete the same work in 36 days and Manan and Aman can complete the same work in 45 days.All of the three working together can complete the work in how many days?
A.	12
B.	18
C.	24
D.	28
Answer» D. 28

Discussion

1058.	A and B can complete a task together in 15 days, while A alone can complete it in 18.75 days. They start working together but A leaves 12.5 days before the completion of the work. For how many days did A and B work together?
A.	10
B.	13.75
C.	12.5
D.	11.25
Answer» D. 11.25

Discussion

1059.	Monika is twice as efficient as Ritu and takes 60 days less than Ritu to complete a job. Find the time in which they can finish the job together.
A.	70 days
B.	40 days
C.	22 days
D.	50 days
Answer» C. 22 days

Discussion

1060.	A can finish \(\frac 3 5\) of a task in 6 days and B can finish \(\frac 2 3\) of the same task in 12 days. A and B worked together for 5 days. C alone completed the remaining task in 8 days. B and C, working together, will complete the same task in:
A.	10 days
B.	18 days
C.	12 days
D.	15 days
Answer» D. 15 days

Discussion

1061.	12 persons can complete half of a work in 9 days. How many persons can complete the same work (whole) in 6 days?
A.	36
B.	45
C.	48
D.	42
Answer» B. 45

Discussion

1062.	A man can do a piece of work in 30 hours. If he works with his son then the same piece of work is finished in 20 hours. If the son works alone, he can do the work in:
A.	60 hours
B.	50 hours
C.	25 hours
D.	10 hours
Answer» B. 50 hours

Discussion

1063.	A, B and C can do a piece of work in 20, 24 and 30 days respectively. All three of them began the work together but B left 3 days before completion of the work. In how many days was the work completed?
A.	7
B.	10
C.	12
D.	9
Answer» E.

Discussion

1064.	P, Q and R alone can complete a work in 12, 15 and 20 days respectively. In how many days will they together complete the same work?
A.	4
B.	5
C.	6
D.	3.5
Answer» C. 6

Discussion

1065.	A can complete a certain piece of work in 40 days. B is 25% more efficient than A and C is 28% more efficient than B. They work together for 5 days. The remaining work will be complete by B alone, in:
A.	\(20\frac{1}{2}\) days
B.	\(16\frac{1}{5}\) days
C.	\(20\frac{3}{4}\) days
D.	\(16\frac{3}{5}\) days
Answer» E.

Discussion

1066.	40 mechanics can repair a bike in 56 days. In how many days 32 mechanics will do the same work?
A.	60 days
B.	56 days
C.	80 days
D.	70 days
Answer» E.

Discussion

1067.	25 men can complete a task in 16 days. Four days after they started working, 5 more men, with equal workmanship, joined them. How many days will be needed by all to complete the remaining task?
A.	15 days
B.	18 days
C.	12 days
D.	10 days
Answer» E.

Discussion

1068.	In a project a team of 54 members can do a work in 35 hours. In how many hours can 18 members do the same work?A. 90B. 120C. 105D. 110
A.	A
B.	C
C.	D
D.	B
Answer» C. D

Discussion

1069.	A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking though it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?
A.	35 hours
B.	25 hours
C.	20 hours
D.	17 hours
Answer» C. 20 hours

Discussion

1070.	Pipes A and B can fill a tank in 6 hours and 9 respectively and pipe C can empty the full tank in 12 hours. If all three pipes are opened together when a tank is empty, in how many hours will 35% tank be filled?
A.	1.9 h
B.	1.5 h
C.	1.6 h
D.	1.8 h
Answer» E.

Discussion

1071.	A and B can together complete a task in 16 days. They started a task together and after 4 days A leave, B takes 24 days to finish the rest of the task. How many days would B have taken to do the task if he worked alone?
A.	30 days
B.	24 days
C.	32 days
D.	34 days
Answer» D. 34 days

Discussion

1072.	17 trainees can do as much work as 4 experts can do in a day. It takes 12 experts and 9 trainees 5 days to dig a pond. How many trainees will one need alongside 4 experts to dig a similar pool in 15 days?
A.	3
B.	5
C.	4
D.	6
Answer» B. 5

Discussion

1073.	If A, B and C can do a job working alone in 12, 18 and 36 days respectively. They all work together for 2 day, then B quits. How many days will A and C take to ﬁnish rest of the job?
A.	9
B.	6
C.	3
D.	4
Answer» C. 3

Discussion

1074.	A and B can do a piece of work in 12 days, B and C in 15 days, C and A in 20 days. How long would A take separately to do the same work?
A.	10 days
B.	20 days
C.	30 days
D.	40 days
Answer» D. 40 days

Discussion

1075.	A and B can complete a work in 60 days, B and C complete it in 80 days, C and A can complete the same work in 120 days. In how many days, B alone can do that work?
A.	96
B.	90
C.	92
D.	94
Answer» B. 90

Discussion

1076.	P, Q and R can do a work in 10, 15 and 30 days respectively. P works daily. Q and R together join P on alternate days starting the first day. In how many days will the work be done?
A.	\(6\frac{1}{3}\)
B.	\(6\frac{3}{4}\)
C.	\(6\frac{1}{2}\)
D.	6
Answer» D. 6

Discussion

1077.	Pipe A can fill a water tank in 45 minutes and pipe B can empty it in 30 minutes. If both the pipes are opened when the tank is empty, the tank will be filled in
A.	18 minutes
B.	90 minutes
C.	The tank can never be filled in
D.	None of the above
Answer» D. None of the above

Discussion

1078.	A can do 2 / 3rd of a job in 18 days and B can do 1 / 3rd of the job in 18 days. If they work on it together, in how many days can they do half of the job?
A.	12
B.	15
C.	9
D.	18
Answer» D. 18

Discussion

1079.	3 men, 4 women and 6 boys together can complete a work in 5 days. A woman does double the work a man does and a boy does half the work a man does in a day. How many women alone can complete this work in 7 days?
A.	7
B.	8
C.	14
D.	5
Answer» E.

Discussion

1080.	‘A’ pipe can empty a tank in 20 minutes. The second pipe ‘B’ has a diameter twice as that of ‘A’. If both A & B pipe are attached to the tank how much time will be required to empty the tank?
A.	\(10\frac{1}{2} \) minutes
B.	25 minutes
C.	15 minutes
D.	4 minutes
Answer» E.

Discussion

1081.	A pipe can fill a tank in 12 hours. Due to the leak in its bottom, the tank is filled in 16 hours. If the tank is full, then that leak can empty the tank in how many hours?
A.	60
B.	52
C.	48
D.	65
Answer» D. 65

Discussion

1082.	A is thrice as good a workman as B. C alone takes 48 days to paint a house. All three A, B and C working together take 16 days to paint the house. It will take how many days for B alone to paint the house?
A.	32
B.	64
C.	96
D.	72
Answer» D. 72

Discussion

1083.	A can do a piece of work in 4 days. B and C together can do it in 3 days, while A and C together can do it in 2 days. How many days will B take to do the work alone?
A.	8 days
B.	12 days
C.	10 days
D.	16 days
Answer» C. 10 days

Discussion

1084.	Pipes A, B and C can fill a tank in 15, 30 and 40 hours, respectively. Pipes A, B and C are opened at 6 a.m., 8 a.m. and 10 a.m., respectively, on the same day. When will the tank be full?
A.	11:20 p.m.
B.	3:20 p.m.
C.	7:20 p.m.
D.	5:20 p.m.
Answer» C. 7:20 p.m.

Discussion

1085.	A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?
A.	A
B.	B
C.	C
D.	A or B
Answer» D. A or B

Discussion

1086.	Find in how many days 10 males and 12 females together can complete the same work.
A.	19(31/38)
B.	17(31/38)
C.	19(29/38)
D.	17(37/38)
E.	17(29/38)
Answer» F.

Discussion

1087.	A can do a piece of work in 12 days. He worked for 4 days and B finished the remaining work in 36 days. B alone can do the whole work in how many days?
A.	63
B.	54
C.	48
D.	72
Answer» C. 48

Discussion

1088.	A, B and C can do a job alone in 6, 12 and 24 days respectively. In what will they do it together?
A.	22 \(3 \over7\)days
B.	3\(3 \over7\) days
C.	3 \(2 \over7\) days
D.	3 \(4 \over7\) days
Answer» C. 3 \(2 \over7\) days

Discussion

1089.	If 2/5th of a cistern is filled in 6 minute, then what is the time needed to fill the remaining part?
A.	8
B.	9
C.	12
D.	10
Answer» C. 12

Discussion

1090.	12 children and 18 men complete a certain piece of artwork in 9 days. Each child takes twice the time taken by a man to finish the artwork. In how many days will 18 men take to finish the same artwork?
A.	17 days
B.	12 days
C.	15.5 days
D.	6.75 days
Answer» C. 15.5 days

Discussion

1091.	A pump can fill a tank with water in 3 hours. Because of a leak, it took \(3\frac{1}{3}\) hours to fill the tank. In how many hours can the leak alone drain all the water of the tank when it is full?
A.	21
B.	10
C.	30
D.	15
Answer» D. 15

Discussion

1092.	A group of 200 men did 5/6th of work in 10 weeks. Due to COVID lockdown work was stopped for 6 weeks. Due to the flood half of the work done was wasted and after lockdown, only 140 men came. Then find the total time taken by the contractor to complete the whole work?
A.	22 weeks
B.	28 weeks
C.	26 weeks
D.	32 weeks
Answer» D. 32 weeks

Discussion

1093.	A and B together can do a piece of work in 40 days and A alone can do it in 60 days. B alone can do the work in how many days?
A.	80
B.	90
C.	120
D.	75
Answer» D. 75

Discussion

1094.	A can do a piece of work in 4 days and B can do it in 12 days. In how many days will they finish the work, both working together?
A.	4 days
B.	2 days
C.	3 days
D.	6 days
Answer» D. 6 days

Discussion

1095.	A can work twice as fast as B. A and C together can work thrice as fast as B. If A, B and C complete a job in 30 days working together, in how many days can each of them complete the work?
A.	60, 120, 120
B.	50, 100, 120
C.	60, 100, 80
D.	40, 80, 100
Answer» B. 50, 100, 120

Discussion

1096.	A and B can together finish a work in 30 days. After working for 24 days, B left the work and A took 8 days to finish the work. In how many days can A alone finish the work?
A.	32
B.	40
C.	30
D.	35
Answer» C. 30

Discussion

1097.	A can do a piece of work in 6 days, B can do it in 9 days. With the assistance of C they completed the work in 3 days. In how many days can C alone do the work?
A.	18
B.	16
C.	12
D.	8
Answer» B. 16

Discussion

1098.	Pipe A can fill a cistern in 4 hours and another pipe B is installed. Both the pipes together fill the cistern in \(2\frac{1}{2}\) hours. How long will it take for B alone to fill the cistern?
A.	\(6\frac{2}{3}hours\)
B.	5 hours
C.	\(5\frac{1}{6}hours\)
D.	\(6\frac{3}{8}\;hours\)
Answer» B. 5 hours

Discussion

1099.	A tank is normally filled in 8 hours but takes 2 hours longer to fill because of a leak at the bottom. If the tank is full and due to leakage alone, the tank will get empty in ______ hours (Assume no further filling happens)
A.	20
B.	40
C.	30
D.	50
Answer» C. 30

Discussion

1100.	Mohit is five times efficient as Rohit. If Mohit can complete the work in 28 days less than Rohit, then in how many days can Rohit alone complete the same work?
A.	35 days
B.	45 days
C.	40 days
D.	32 days
Answer» B. 45 days

Discussion

Explore topic-wise MCQs in General Aptitude.

A tank can be filled by a pipe P in 32 minutes and by pipe Q in 36 minutes. When it is full, it can be emptied by a pipe R in 20 minutes. If all the three pipes are opened simultaneously, half of the tank will be filled in ________.

Ram and Shyam can complete a task in \(6\frac{2}{3}\) days and 15 days, respectively. The work together for 4 days, and then Ram leaves. In how many days after Ram leaves, will Shayam complete the remaining task alone?

A earns Rs. 100 per hour and works for 8 hours per day. B earns Rs. 120 per hour and works for 6 hours per day. The ratio of per day wages of B to that of A is:

In a fort, there was sufficient food for 200 soldiers for 31 days. After 27 days, 120 soldiers left the fort. For how many days will the rest of the food last for the remaining soldiers?

A can finish a task in 45 days and B can finish the same task in 30 days. They work together for 3 days and then A leaves. In how many days will B finish the remaining task?

10 people could complete a task in 8 days. After 4 days, 2 of the workers left. How many days from then did it take to complete the remaining task?

Aman and Raman together complete a piece of work in 30 days, Raman and Manan can complete the same work in 36 days and Manan and Aman can complete the same work in 45 days.All of the three working together can complete the work in how many days?

A and B can complete a task together in 15 days, while A alone can complete it in 18.75 days. They start working together but A leaves 12.5 days before the completion of the work. For how many days did A and B work together?

Monika is twice as efficient as Ritu and takes 60 days less than Ritu to complete a job. Find the time in which they can finish the job together.

A can finish \(\frac 3 5\) of a task in 6 days and B can finish \(\frac 2 3\) of the same task in 12 days. A and B worked together for 5 days. C alone completed the remaining task in 8 days. B and C, working together, will complete the same task in:

12 persons can complete half of a work in 9 days. How many persons can complete the same work (whole) in 6 days?

A man can do a piece of work in 30 hours. If he works with his son then the same piece of work is finished in 20 hours. If the son works alone, he can do the work in:

A, B and C can do a piece of work in 20, 24 and 30 days respectively. All three of them began the work together but B left 3 days before completion of the work. In how many days was the work completed?

P, Q and R alone can complete a work in 12, 15 and 20 days respectively. In how many days will they together complete the same work?

A can complete a certain piece of work in 40 days. B is 25% more efficient than A and C is 28% more efficient than B. They work together for 5 days. The remaining work will be complete by B alone, in:

40 mechanics can repair a bike in 56 days. In how many days 32 mechanics will do the same work?

25 men can complete a task in 16 days. Four days after they started working, 5 more men, with equal workmanship, joined them. How many days will be needed by all to complete the remaining task?

In a project a team of 54 members can do a work in 35 hours. In how many hours can 18 members do the same work?A. 90B. 120C. 105D. 110

Pipes A and B can fill a tank in 6 hours and 9 respectively and pipe C can empty the full tank in 12 hours. If all three pipes are opened together when a tank is empty, in how many hours will 35% tank be filled?

A and B can together complete a task in 16 days. They started a task together and after 4 days A leave, B takes 24 days to finish the rest of the task. How many days would B have taken to do the task if he worked alone?

17 trainees can do as much work as 4 experts can do in a day. It takes 12 experts and 9 trainees 5 days to dig a pond. How many trainees will one need alongside 4 experts to dig a similar pool in 15 days?

If A, B and C can do a job working alone in 12, 18 and 36 days respectively. They all work together for 2 day, then B quits. How many days will A and C take to ﬁnish rest of the job?

A and B can do a piece of work in 12 days, B and C in 15 days, C and A in 20 days. How long would A take separately to do the same work?

A and B can complete a work in 60 days, B and C complete it in 80 days, C and A can complete the same work in 120 days. In how many days, B alone can do that work?

P, Q and R can do a work in 10, 15 and 30 days respectively. P works daily. Q and R together join P on alternate days starting the first day. In how many days will the work be done?

Pipe A can fill a water tank in 45 minutes and pipe B can empty it in 30 minutes. If both the pipes are opened when the tank is empty, the tank will be filled in

A can do 2 / 3rd of a job in 18 days and B can do 1 / 3rd of the job in 18 days. If they work on it together, in how many days can they do half of the job?

3 men, 4 women and 6 boys together can complete a work in 5 days. A woman does double the work a man does and a boy does half the work a man does in a day. How many women alone can complete this work in 7 days?

‘A’ pipe can empty a tank in 20 minutes. The second pipe ‘B’ has a diameter twice as that of ‘A’. If both A & B pipe are attached to the tank how much time will be required to empty the tank?

A pipe can fill a tank in 12 hours. Due to the leak in its bottom, the tank is filled in 16 hours. If the tank is full, then that leak can empty the tank in how many hours?

A is thrice as good a workman as B. C alone takes 48 days to paint a house. All three A, B and C working together take 16 days to paint the house. It will take how many days for B alone to paint the house?

A can do a piece of work in 4 days. B and C together can do it in 3 days, while A and C together can do it in 2 days. How many days will B take to do the work alone?

Pipes A, B and C can fill a tank in 15, 30 and 40 hours, respectively. Pipes A, B and C are opened at 6 a.m., 8 a.m. and 10 a.m., respectively, on the same day. When will the tank be full?

A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?

Find in how many days 10 males and 12 females together can complete the same work.

A can do a piece of work in 12 days. He worked for 4 days and B finished the remaining work in 36 days. B alone can do the whole work in how many days?

A, B and C can do a job alone in 6, 12 and 24 days respectively. In what will they do it together?

If 2/5th of a cistern is filled in 6 minute, then what is the time needed to fill the remaining part?

12 children and 18 men complete a certain piece of artwork in 9 days. Each child takes twice the time taken by a man to finish the artwork. In how many days will 18 men take to finish the same artwork?

A pump can fill a tank with water in 3 hours. Because of a leak, it took \(3\frac{1}{3}\) hours to fill the tank. In how many hours can the leak alone drain all the water of the tank when it is full?

A group of 200 men did 5/6th of work in 10 weeks. Due to COVID lockdown work was stopped for 6 weeks. Due to the flood half of the work done was wasted and after lockdown, only 140 men came. Then find the total time taken by the contractor to complete the whole work?

​​A and B together can do a piece of work in 40 days and A alone can do it in 60 days. B alone can do the work in how many days?

A can do a piece of work in 4 days and B can do it in 12 days. In how many days will they finish the work, both working together?

A can work twice as fast as B. A and C together can work thrice as fast as B. If A, B and C complete a job in 30 days working together, in how many days can each of them complete the work?

A and B can together finish a work in 30 days. After working for 24 days, B left the work and A took 8 days to finish the work. In how many days can A alone finish the work?

A can do a piece of work in 6 days, B can do it in 9 days. With the assistance of C they completed the work in 3 days. In how many days can C alone do the work?

Pipe A can fill a cistern in 4 hours and another pipe B is installed. Both the pipes together fill the cistern in \(2\frac{1}{2}\) hours. How long will it take for B alone to fill the cistern?

A tank is normally filled in 8 hours but takes 2 hours longer to fill because of a leak at the bottom. If the tank is full and due to leakage alone, the tank will get empty in ______ hours (Assume no further filling happens)

Mohit is five times efficient as Rohit. If Mohit can complete the work in 28 days less than Rohit, then in how many days can Rohit alone complete the same work?

A and B together can do a piece of work in 40 days and A alone can do it in 60 days. B alone can do the work in how many days?