Question

An overhead water tank of 7200 m3 capacity is being filled with water. The delivery of the pump filling the tank is 5/6th 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

Answer: (D)

50 m3/min

Answer 2

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