Question

A booster pump can be used for filling as-well-as for emptying a tank. The capacity of the tank to 2400 m3. The emptying capacity of the tank i8 10 m3 per min higher than its filling capacity and the pump needs 8 min lesser to empty the tank than it needs to fill it.What is the filling capacity of the pump?

• A. 60m3 /min
• B. 50m3 /min
• C. 72m3. /min
• D. None of these

Answer 1

Answer: (B)

50m3 /min

Answer 2

Let, the filling capacity of the pump be $\frac{xm^3}{min}$

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

So, $\frac{2400}{x}-\frac{2400}{(x+10)}=8$

On solving, we get

x $=\frac{50m^3}{min}$
So the correct option is (B)