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1. 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. 20 hours
- C. 20 hours
- D. 20 hours
Answer: Option C
Explanation:
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
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
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