A X company of pump can be used for filling as well as for emptying a tank 10 m3 per minute takes fo...........

Quantitative Aptitude ( CCS) Pipes&cistern

A X company of pump can be used for filling as well as for emptying a tank. 10 m3 per minute takes for emptying the tank which is higher than its filling capacity and the pump takes 8 minutes less time to empty the tank .Find out the filling capacity of the pump? [If the capacity of the tank is 2400 m3.]

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Explanation:

Let the filling capacity of the pump be x m3/min.
Then, emptying capacity of the pump=(x+10)m3/min.
2400/x − 2400/(x+10) = 8
=>x² + 10x − 3000 = 0
=>(x−50)+(x+60) = 0
=>x = 50