Question

An overhead water tank of 7200 m³ capacity is being filled with water. The delivery of the pump filling the tank is 5/6^th of the delivery of the pump discharging the same tank. As a result, 24 minutes more is needed to fill the tank than discharge it. Determine the delivery of the pump in filling the tank.

• A. 90 m³/min
• B. 72 m³/min
• C. 60 m³/min
• D. 50 m³/min

Answer 1

The Correct Option is D

Let the delivery of the pump filling the tank = X m³/min
⇒ delivery of the pump discharging the tank = \(\frac{6}{5}\)X m³/min
⇒ \(\frac{7200}{X}-\frac{7200}{\frac{6}{5}X}=24\)
⇒ \(\frac{1200}{X}=24\)
⇒ X=50.
So, the correct option is (D): 50 m³/min