To do a certain work, efficiencies of A and B are in the ratio 7: 5. Working together, they can complete the work in 17 \frac{1}{2} days. In how many days, will B alone complete, 50 \% of the same work?

SSC CGL 23 Aug 2021 Shift 2 Paper

Question : 58 of 100

Marks: +1, -0

To do a certain work, efficiencies of

A

and

B

are in the ratio

7: 5

.
Working together, they can complete the work in

17 \;{1}/{2}

days. In how many days, will

B

alone complete,

50 \%

of the same work?

Solution:

Given, efficiency of

A: B=7: 5

,
working together they can complete the work in

\;{35}/{2}

days
Then, total work

=12 × \;{35}/{2}=210

units

∴

Number of days

B

take to complete

50 \% \;\text " of work "\; \;\; =\;{210}/{5} × \;{50}/{100}

\;\; =\;{210}/{10}=21 {days}

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