A booster pump can be used to fill as to empty the tank The capacity of the tank is 1200 m3 The empt...........

Quantitative Aptitude ( CCS) Pipes&cistern

A booster pump can be used to fill as to empty the tank. The capacity of the tank is 1200 m³. The emptying capacity of the tank is 10 m³ per minute higher than its filling capacity and the pump requires 4 minutes lesser to vacant the tank than it requires to fill it. Calculate the filling capacity of the pump.

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200

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Explanation:

Assume that the filling capacity of the pump = x m³/min
Given condition : Emptying capacity of the tank is 10 m³ per minute higher than its filling capacity. This means that the emptying capacity of the pump is = x + 10 m³/min
We need to filling the capacity of pump from the given relation of filling & emptying capacities. we can write that,
1200 / x - 1200/ x+ 10 = 4
[1/x – 1/ x+10] = 1/300
By solving the above equation, we get the simplified form of quadratic equation.
So, x² + 10x -3000 = 0
(x + 60) (x-50) = 0
Therefore, we get two values of 'x'; i.e. x = -60 & x =50
Hence, opiton 1 is the correct answer.