SOLUTION: Jay�s basement flooded last night. He has two pumps he can use to drain the water. Pump #1 can drain the basement in 5 hours. Working together, the two pumps can drain the baseme

Question 626459: Jay�s basement flooded last night. He has two pumps he can use to drain the water.
Pump #1 can drain the basement in 5 hours. Working together, the two pumps can
drain the basement in 2 hours. How long would it take Pump #2 to drain the basement
working alone?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Jay�s basement flooded last night. He has two pumps he can use to drain the water.
Pump #1 can drain the basement in 5 hours. Working together, the two pumps can
drain the basement in 2 hours. How long would it take Pump #2 to drain the basement working alone?
.
Let x = time (hours) it takes for pump #2 alone
then
2(1/5 + 1/x) = 1
multiplying both sides by 5x:
2(x + 5) = 5x
2x + 10 = 5x
10 = 3x
10/3 = x
or
3 hours and 20 minutes = x
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