A Special pump can be used for filling as well as for emptying a Cistern. The capacity of the Cistern is 2400m³. The emptying capacity of the Pump is 10m³ per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

Let filling capacity = f m³/min, then emptying capacity = (f+10) m³/min. Time to fill = 2400/f, time to empty = 2400/(f+10). Given: 2400/f - 2400/(f+10) = 8. Solving: 24000/(f(f+10)) = 8, so f²+10f-3000=0, giving f=50. Therefore filling capacity = 50 m³/min (option B). Option A (40) doesn't satisfy the time difference condition.