The efficiencies of A B and C are in the ratio 2 5 7 working together they can complete a work in 10...........

Quantitative Aptitude (CPO) Time and work

The efficiencies of A, B and C are in the ratio 2 : 5 : 7 working together, they can complete a work in 10 days. In how many days will.

A alone be able to complete 30% of that work?

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SSC CPO 13th-March-2019-Shift-1

- The efficiencies of A, B, and C are in the ratio 2:5:7.

- Combined, they complete the work in 10 days, meaning their combined efficiency is 1/10 of the work per day.

- Therefore, (2x + 5x + 7x) = 14x of work done per day collectively equals 1/10.

- Solving for x gives 1 unit of work = 1/140.

- A's efficiency alone is 2x = 2/140 = 1/70 of work per day.

- To find out how many days A takes to complete 30% of the work:

- 30% of the work = 0.3.

- Days = Total work / Work done per day = 0.3 ÷ (1/70) = 21 days.

- Option:4 (21) is correct.

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