NIFT PG 2020 Question Paper with solutions

Question : 6 of 150

Marks: +1, -0

A

and

B

can do a piece of work in 30 and 36 days, respectively. They began the work together but

A

leaves after some days and

B

finished the remaining work in 25 days. After how many days did A leave?

Solution:

A's one day's work

=\;{1}/{30}

and B's one day's work

=\;{1}/{36}

∴ (A+B)'{\s}

one day's work

=\;{1}/{30}+\;{1}/{36}=\;{11}/{180}

25 day's work of

B=\;{25}/{36}

∴ \;\;

Remaining work

=1-\;{25}/{36}=\;{11}/{36}

A

and

B

complete the work

\;{11}/{36}

=\;{11}/{36} ÷ \;{11}/{180}=5

days
So,

A

leaves after 5 days

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