SOLUTION: the time t required to empty a water tank varies inversely as the rate of pumping p. a pump can empty a water tank in 40 min at the rate of 120 gal/min. write the equation of inver

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Question 1096700: the time t required to empty a water tank varies inversely as the rate of pumping p. a pump can empty a water tank in 40 min at the rate of 120 gal/min. write the equation of inverse variation how long will it take the pump to empty the water tank at the rate of 200 gal/min
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+t+=+k%2A%28+1%2Fr+%29+
+t+ = time in minutes that pump operates
+r+ = the rate of pumping in gal/min
+k+ = constant of proportionality
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+40+=+k%2A%28+1%2F120+%29+
+k+=+40%2A120+
+k+=+4800+
-----------------------
+t+=+k%2A%28+1%2Fr+%29+
+t+=+4800%2A%28+1%2F200+%29+
+t+=+24+
The pump will take 24 min to empty the tank