Question
A booster pump can be used for filling as well as for emptying a tank. The capacity of he tank is 2400` m^3`. The emptying capacity of the tank is 10`m^3` per minute higher than is filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it . What is the filling of the pump ?
Answer: Option A
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Let the filling capacity of the pump be `x m^3`/ min.
hen , emptying capacity of the pump = `(x + 10) m^3`/ min.
So , `2400/x - (2400)/((x + 10)) = 8 hArr x^2 + 10x - 3000 = 0`
`hArr (x - 50) (x + 60) = 0 hArr x = 50` [neglecting the - ve value of `x`]
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