Question

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

Answer 1

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

Answer 2

Answer:

The filling speed of the pump is option A $50$ $\frac{m^3}{min}$

Step-by-step explanation:

The capacity of the tank is  = $2400$ $m^3$

Let the filling capacity of the tank be = $x$ $m^3$per minute

Then the emptying capacity of the tank is = $(10+x)$ $m^3$ per minute

According to the question the pump needs $8$ minutes lesser to empty the tank than it needs to fill it
So the equation becomes
$\frac{2400}{x} +8 = \frac{2400}{x+10}$

Hence on solving the above equation we get

$x = 50$ $m^3$ per minute

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