NCHMCT JEE 2020 Question Paper with solutions for online practice

Question : 87 of 200

Marks: +1, -0

A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the work in 10 and 24 days, respectively. The days will be taken by a boy to finish the work is

Validate

Solution:

1 day work of a man, a woman and a boy

=\;{1}/{6}

1 day work of a

man=\;{1}/{10}

1 day work of a woman

=\;{1}/{24}

1 day work of a boy

=\;{1}/{6}-\;{1}/{10}-\;{1}/{24}

=\;{20-12-5}/{120}=\;{3}/{120}=\;{1}/{40}

Hence, boy will finish the work in 40 days.

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