SOLUTION: The time (t) required to empty a tank varies inversely as the rate (r) of pumping. A pump can empty a tank in 90 minutes at the rate of 1200 L/min. How long will the pump take to e

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The time (t) required to empty a tank varies inversely as the rate (r) of pumping. A pump can empty a tank in 90 minutes at the rate of 1200 L/min. How long will the pump take to e      Log On


   



Question 303615: The time (t) required to empty a tank varies inversely as the rate (r) of pumping. A pump can empty a tank in 90 minutes at the rate of 1200 L/min. How long will the pump take to empty the tank at 3000 L/min?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The time (t) required to empty a tank varies inversely as the rate (r) of pumping.
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t = k/r
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A pump can empty a tank in 90 minutes at the rate of 1200 L/min.
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Solve for "k" using t = 90 min and r = 1200 L/min
90 = k/1200
k = 108000
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How long will the pump take to empty the tank at 3000 L/min?
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General Equation for this problem:
t = 108000/r
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Solve: t = 108000/3000
t = 36 minutes
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Cheers,
Stan H.
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