Management Aptitude Test 2016 Paper

Question : 104 of 200

Marks: +1, -0

A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400

m^3

. The emptying capacity of the tank is 10

m^3

/min higher than its filling capacity and the pump needs 8 min lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

50 $m^3$ /min
60 $m^3$ /min
72 $m^3$ /min
36 $m^3$ /min

Validate

Solution:

(a) Let the filling capacity of tank be x

m^3

/min.
Then, emptying capacity = (x + 10)

m^3

/min
Total capacity of tank = 2400

m^3

[given]
Now,

2400/x-2400/(x+10)

= 8
⇒ 2400x + 24000 - 2400x = (

x^2

+ 10x) × 8
⇒ 24000 = 8

x^2

+ 80x
⇒ 8

x^2

+ 80x - 24000 = 0
⇒ x =

{-80±√{80^2+4×8×24000}}/16

{-80±√{6400+768000}}/16

{-80±√774400}/16

{-80±880}/16

{-80+880}/16=800/16

= 50

m^3

/min

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