NIFT UG 2020 Question Paper with solutions

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Question : 5 of 150

Marks: +1, -0

Pipe

A

can fill an empty tank in

6 {h}

and pipe

B

in

8 {h}

. If both the pipes are opened and after

2 {h}

pipe

A

is closed, then how much time pipe

B

will take to fill the remaining tank?

$7 \;{1}/{2} h$
$3 \;{1}/{3} h$
$2 \;{2}/{5} {h}$
$2 \;{1}/{3} h$

Solution:

A's one hour's work

=\;{1}/{6}

B {s}

one hour's work

=\;{1}/{8}

(A+B)^{'} {s}

two hour's work

=2(\;{1}/{8}+\;{1}/{6})=\;{28}/{48}

∴

Remaining work

=1-\;{28}/{48}=\;{20}/{48}

Time taken by pipe

B

to complete remaining work

=\;{\;{20}/{48}}/{{1}/{8}}=\;{20}/{48} × 8=\;{20}/{6}=3 \;{1}/{3} {h}

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