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.
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.
Updated On: Aug 31, 2024
- 90 m3/min
- 72 m3/min
- 60 m3/min
- 50 m3/min
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The Correct Option is D
Solution and Explanation
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
⇒ 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
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