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A swimming pool has three pumps, A, B and C. Working [#permalink]

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14 Sep 2006, 13:22

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B

C

D

E

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A swimming pool has three pumps, A, B and C. Working together at their constant rates, A and B can drain the swimming pool in 10 hours, whereas A and C can drain the pool in 12 hours. How long does it take A to drain the pool?

(1) B and C, working together, can drain the pool in 15 hours.
(2) The time it would take 3 B's to drain the pool is equal to the time it would take 4 C's to do so.

Last edited by kevincan on 14 Sep 2006, 13:42, edited 1 time in total.

A swimming pool has three pumps, A, B and C. Working together at their constant rates, A and B can drain the swimming pool in 10 hours, whereas A and C can drain the pool in 12 hours. How long does it take A to drain the pool?

(1) B and C, working together, can drain the pool in 15 hours. (2) The time it would take 3 B's to drain the pool is equal to the time it would take 4 C's to do so.

A swimming pool has three pumps, A, B and C. Working together at their constant rates, A and B can drain the swimming pool in 10 hours, whereas A and C can drain the pool in 12 hours. How long does it take A to drain the pool?

(1) B and C, working together, can drain the pool in 15 hours. (2) The time it would take 3 B's to drain the pool is equal to the time it would take 4 C's to do so.

Answer is D

I will explain later. B gets tricky.

Hmmm, I might be over thinking, but I am going to retract the D answer and get back to it.

Arrived at D, but didn't work it out as detailed as Haas_mba07.
Statement 1: Gives you B+C. Imagine 2As, 1 B and 1 C [(A+B) and (A+C)] draining the tank and two more pumps (B+C) pouring in water, and you effectively negate B and C and can figure out how long it takes A to drain the tank. So, sufficient.
Statement 2: Gives you B in terms of C or vice versa. Substitute appropriately to find out A.

Wow! Typing this out took much longer than figuring it out in my head. Hope it makes sense to most people at least.