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- A booster pump can be used for filling as well as for emptying a tank.
Question 1:
A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m^3. The emptying capacity of the tank is 10m^3 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? A. 75 m^3/min
B. 70 m^3/min
C. 60 m^3/min
D. 50 m^3/min
Feedback Let the filling capacity of the pump be x m3/min.
Then, emptying capacity of the pump=(x+10)m^3/min.
so,2400/x−2400/x+10=8
x^2+10x−3000=0
(x−50)+(x+60)=0 ⇔x=50
Then, emptying capacity of the pump=(x+10)m^3/min.
so,2400/x−2400/x+10=8
x^2+10x−3000=0
(x−50)+(x+60)=0 ⇔x=50
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