# A tank of 6120 cu m capacity is being filled with water. The capacity

| A tank of 6120 cu m capacity is being filled with water. The capacity of the pump discharging the tank is 20% more than the capacity of the pump filling the same tank. As a result, twelve minutes more time is needed to fill the tank than to discharge it. Determine the capacity of the pump discharging the tank.

A. 80 m^{3}/min

B. 60 m^{3}/min

C. 102 m^{3}/min

D. 85 m^{3}/min

### Right Answer is: C

#### SOLUTION

Ratio of capacity of pump discharging the tank and pump filling the tank = 6 : 5

Hence, the ratio of time taken by pump discharging the tank and pump filling the tank = 5 : 6

The value of 1 (6 – 5) is 12 minutes

Hence time taken by discharging pump to empty the tank = 5 12 minutes = 60 minutes

Hence the capacity of the discharging pump

= 6120/60 = 102 m^{3}/min

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A tank of 6120 cu m capacity is being filled with water. The capacity