Management Aptitude Test Sep 2020 Paper

Question : 98 of 200

Marks: +1, -0

A cistern is normally filled in

6 {h}

but takes

4 {h}

longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in how much time?

Solution:

Let cistern will be empty in

x {h}

.
Then, due to leak time taken,

\;{1}/{(6+4)}-\;{1}/{x}=\;{1}/{6}

⇒ \;\; \;{1}/{10}-\;{1}/{x}=\;{1}/{6}

⇒ \;{1}/{x}=\;{1}/{6}-\;{1}/{10}

⇒ \;{1}/{x}=\;{10-6}/{60}=\;{4}/{60}

⇒ \;{1}/{x}=\;{4}/{60}=\;{1}/{15}

⇒ \;{1}/{x}=\;{1}/{15}

⇒ x=15 {h}

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