SOLUTION: Working together, two pumps can drain a certain pool in 4 hours. If it takes the older pump 12 hours to drain the pool by itself, how long will it take the newer pump to drain

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working together, two pumps can drain a certain pool in 4 hours. If it takes the older pump 12 hours to drain the pool by itself, how long will it take the newer pump to drain      Log On


   



Question 1109484: Working together, two pumps can drain a certain pool in 4
hours. If it takes the older pump 12
hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Do not do any rounding.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the time it takes the newer pump to drain the pool
:
(1/12) + (1/x) = 1/4
:
1 + 12/x = 3
:
12/x = 2/1
:
2x = 12
:
x = 6
:
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it takes the newer pump 6 hours to drain the pool on its own
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