A cistern is filled in 3 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 ?

30 hours

35 hours

24 hours

28 hours

Solution: Suppose pipe A alone takes x hours to fill the tank. Then, b =x/3 and C= x/6. .'. 1/x + 3/x + 6/x = 1/3 => 10/x = 1/3 => x = 30 hours

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