A cistern filled in 20 hours by three pipes A B and C The pipe C is twice as fast as B and B is thri...........

Quantitative Aptitude ( CCS) Pipes&cistern

A cistern filled in 20 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is thrice as fast as A. How much time will pipe A alone take to fill the tank?

205

252

200

none of these

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Explanation:

Suppose pipe A alone takes x hours to fill the tank.
Then pipes B and C will take x/3 and x/6 hours respectively to fill the tank.
Therefore 1/x + 3/x + 6/x= 1/20 ⇒ 10/x = 1/20 ⇒ x = 200hrs