A tank is filled in 5 hours by three pipes A,B and C The pipe C is twice as fast as B and B is twice as fast as A How much time will pipe A alone take to fill the tank?
A
20 hours
B
25 hours
C
35 hours
D
None of these
Correct Answer: 35 hours
Suppose pipe A alone takes x hours to fill the tank. Then, pipes B and C will take x/2 and x/4 hours respectively to fill the tank. ∴1/x + 2/x + 4/x = 1/5 ⇒7/x = 1/5 ⇒x = 35hours