SOLUTION: Two drainpipes working together can drain a pool in 8 hours. Working alone the smaller pipe would take 12 hours longer than the larger pipe to drain the pool. How long would it tak

Question 608427: Two drainpipes working together can drain a pool in 8 hours. Working alone the smaller pipe would take 12 hours longer than the larger pipe to drain the pool. How long would it take the smaller pipe to drain the pool?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Two drainpipes working together can drain a pool in 8 hours. Working alone the smaller pipe would take 12 hours longer than the larger pipe to drain the pool. How long would it take the smaller pipe to drain the pool?
.
Let x = time (hours) for smaller pipe to drain pool alone
then
8(1/12 + 1/x) = 1
multiplying both sides by 12x:
8(x + 12) = 12x
8x + 96 = 12x
96 = 4x
14 hours = x
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