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Booster Pump

by eaakbari » Sun Apr 11, 2010 10:10 pm
A Booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m3. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?



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by eaakbari » Sun Apr 11, 2010 10:11 pm
Let, the filling capacity of the pump be x m3/min
Then, emptying capacity of the pump=(x+10) m3/min.
So,2400/x - 2400/(x+10) = 8
on solving x=50.
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by shashank.ism » Sun Apr 11, 2010 10:52 pm
eaakbari wrote:A Booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m3. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?



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capacity of tank = 2400 m3
emptying capacity = 10 m3 + x m3 (say the filling capacity = x m3)
(2400)/(10+x) + 8 = 2400/(x) --> 1 = 300/(x) - (300)/(10+x) --> 10*300 = (10+x)x --> x2 + 10x - 3000 = 0 -->(x-50)(x+60)=0
--> x=50 (taking +ve value).
so filling capacity = 50 m3.
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