SOLUTION: ONE PIPE CAN FILL A POOL 1.25 TIMES FASTER THAN ANOTHER PIPE. WHEN BOTH PIPES ARE OPENED, THEY FILL THE POOL IN FIVE HOURS. HOW LONG WILL IT TAKE TO FILL THE POOL IF ONLY THE SLOWE

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Question 954734: ONE PIPE CAN FILL A POOL 1.25 TIMES FASTER THAN ANOTHER PIPE. WHEN BOTH PIPES ARE OPENED, THEY FILL THE POOL IN FIVE HOURS. HOW LONG WILL IT TAKE TO FILL THE POOL IF ONLY THE SLOWER PIPE IS USED?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
ONE PIPE CAN FILL A POOL 1.25 TIMES FASTER THAN ANOTHER PIPE. WHEN BOTH PIPES ARE OPENED, THEY FILL THE POOL IN FIVE HOURS. HOW LONG WILL IT TAKE TO FILL THE POOL IF ONLY THE SLOWER PIPE IS USED?
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1.25 times faster = 2.25 times the flow rate.
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Pipe 1 fills 1/p of the pool per hour
Pipe 2 fills 2.5/p of the pool per hour.
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Together, they do 1/p + 2.5/p per hour = 1/5 pool per hour
1/p + 2.5/p = 1/5
3.5/p = 1/5
p = 17.5 hours

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