Five persons A, B, C, D and E are pulling a cart of mass 100 kg on a smooth surface and cart is moving with acceleration \[3\text{ }m/{{s}^{2}}\]in east direction. When person A stops pulling, it moves with acceleration \[1\text{ }m/{{s}^{2}}\]in the west direction. When person B stops pulling, it moves with acceleration \[\text{24 }m/{{s}^{2}}\] in the north direction. The magnitude of acceleration of the cart when only A and B pull the cart keeping their directions same as the old directions, is

• A. \[\text{24 }m/{{s}^{2}}\]
• B. \[\text{3}\sqrt{71}\text{ }m/{{s}^{2}}\]
• C. \[\text{30 }m/{{s}^{2}}\]
• D. \[\text{25 }m/{{s}^{2}}\]