Management Aptitude Test Sep 2020 Paper

Question : 116 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}

per 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?

$60 {m}^{3} \/ {min}$
$50 {m}^{3} \/ {min}$
$72 {m}^{3} \/ {min}$
None of these

Validate

Solution:

Let the filling capacity of pump be

x {m}^{3} \/ {min}

.
Let the emptying capacity of pump will be

(x+10)

{m} \/ {min} .

According to the question,

\;\; \;{2400}/{x}-\;{2400}/{x+10} \;\; =8

⇒ \;\; 2400[\;{10}/{x(x+10)}] \;\; =8

⇒ \;\; \;\; x^{2}+10 x-3000 \;\; =0

⇒ \;\; (x+60)(x-50) \;\; =0

x \;\; =-60 \;\; \;\text " (not possible) "\;

⇒ \;\; x \;\; =50

Hence, the filling capacity of pump is

50 {m}^{3} \/ {min}

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