Management Aptitude Test Sep 2011 Paper

Question : 115 of 200

Marks: +1, -0

A pump can be operated both for filling a tank and for emptying it.The capacity of tank is 2400

m^3

.The emptying capacity of the pump is 10

m^3

per min higher than its filling capacity.Consequently, the pump needs 8 min less to empty the tank than to fill it.Find the filling capacity of the pump.

45 $m^3$ /min
30 $m^3$ /min
50 $m^3$ /min
55 $m^3$ /min

Validate

Solution:

(3) Let filling capacity = x

m^3

/min
and emptying capacity = (x + 10)

m^3

/min
Then, according to the question,

2400/x -2400/{x + 10}

= 8
⇒ 2400

[1/x -1/{x + 10}]

= 8
⇒ 2400

[{ x+10-x}/{x(x + 10)}]

= 8
⇒ x (x + 10) =

{2400×10}/8

⇒

x^2

+ 10x - 3000 = 0
⇒

x^2

+ 60x - 50x - 3000 = 0
⇒ (x - 50) (x + 60) = 0
⇒ x = 50

m^3

/min

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