SOLUTION: One pump can empty a tank three times as another. working together they can complete a job in four hours, find the rate of each pump

Question 397960: One pump can empty a tank three times as another. working together they can complete a job in four hours, find the rate of each pump
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
One pump can empty a tank three times as another. working together they can complete a job in four hours, find the rate of each pump
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One pump rate: 1/x job/hr
Other pump rate: 1/(3x) job/hr
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Together rate: 1/4 job/hr
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Equation:
rate + rate = together rate
1/x + 1/(3x) = 1/4
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Multiply thru by 12x to get:
12 + 4 = 3x
3x = 16
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One pump DATA:
x = 16/3 hr
Pump rate = (3/16) job/hr
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Other pump DATA:
time = 3x = 16 hr
Pump rate = 1/16 job/hr
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Cheers,
Stan H.
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