A booster pump can be used for filling as well as for emptying a tank. The capac

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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?
Options
A. 50 m^3/min
B. 60 m^3/min
C. 72 m^3/min
D. None of these

Correct Answer

50 m^3/min

Explanation

Let the filling capacity of the pump be x $m^{3}$ /min.

Then, emptying capacity of the pump=(x+10) $m^{3}$ /min.

so, $\frac{2400}{x} - \frac{2400}{x + 10} = 8 ? x^{2} + 10 x - 3000 = 0$

$? (x - 50) + (x + 60) = 0 ? x = 50$

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