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Question 103839: Gary needs to drain his 10,000 gallon pool. He uses two pumps. One pump drains 10 gallons of water every minute while the other drains 5 gallons of water every 15 seconds. If the pumps drain water from the pool during the same span of time, determine the time (in minutes) for the pool to be drained.
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! Let's call the first pump A and the second one B.
Pump A pumps 10 gallons per minute.
Pump B pumps 5 gallons per 15 seconds. We need to convert this into gallons per minute which can be done by multiplying by 4.
(5 gals/15 sec)(4) = 20 gals/minute.
If the two pumps work together, you will add the output of pump A and the output of pumb B to find the number of gallons the pumps will empty out in 1 minute.
10 gals/min + 20 gals/min = 30 gallons per minute.
You have 10,000 gallons in the pool to start with, so you'll divide the 10,000 gallons by 30 gallons per minute to get: 333.3 minutes.
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