1.

The capacity of a cuboidal container is 3000m3. A pump can be used to fill as well as to empty the container. The emptying capacity of the container is ___ and emptying capacity of the container is 15m3 per minute higher than its filling capacity and the pump needs 10 minutes lesser to empty the container than it need to fill it.1). 602). 803). 504). 45

Answer»

Let the filling capacity of the CONTAINER = x m3 

Emptying capacity = (x + 15) m3 

3000/x – 3000/(x + 15) = 10 

⇒ 3000x + 45000 – 3000x = 10x(x + 15) 

⇒ 45000 = 10x2 + 150X 

⇒ x2 + 15x – 4500 = 0 

⇒ x = 60 , -75 (It can be neglected)

∴ Emptying capacity = x + 15 = 75



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