CMAT 2013 Solved Question Paper

Question : 6 of 100

Marks: +1, -0

A and B can do a piece of work in 8 days, B and C can do the same work in 12 days and A and C can complete it in 8 days. In how many days A, B and C can complete the whole work, working together?

Validate

Solution:

(A+B)^{'} s \;\; 1 \;\text " day's work "\;=\;{1}/{8}

( B + C )^{'} s \;\; 1 \;\text " day's work "\;=\;{1}/{12}

( C + A )^{'} s \;\;1 \;\text " day's work "\;=\;{1}/{8}

\;\text " On adding, "\;

2( A + B + C )^{'} s \;\; 1 \;\text " day's work "\;

=\;{1}/{8}+\;{1}/{12}+\;{1}/{8}

=\;{3+2+3}/{24}

=\;{1}/{3}

∴ (A+B+C)^{'} s \;\; 1 \;\text " day's work "\;=\;{1}/{6}

\;\text " So the work will be completed in "\; 6 \;\text " days. "\;

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