When two sound waves travel in the same direction in a medium, the displacements of a particle located at 'x' at time 't' is given by: \[{{y}_{1}}=0.05\cos (0.50\pi x-100\pi t)\] \[{{y}_{2}}=0.05\cos (0.46\pi x-92\pi t)\] Where\[{{y}_{1}}\] , \[{{y}_{2}}\] and x are in meters and t seconds. The speed of sound in the medium is:

• A. 92m/s
• B. 200 m/s
• C. 100m/s
• D. 332m/s