A man and a woman working together can do a work in 66 days The ratio of their working efficiencies ...........

Quantitative Aptitude (CGL) Time and work

A man and a woman, working together can do a work in 66 days. The ratio of their working efficiencies is 3 : 2. In how many

days 6 men and 2 women working together can do the same work?

This questions was previously asked in

SSC CGL 13th August 2021 Shift-3

- When a man and a woman work together, they finish the work in 66 days.

- The efficiency ratio between the man and the woman is 3:2.

- Let's assume the man's efficiency is 3 units of work per day and the woman's is 2 units.

- Combined, they complete 5 units of work per day (3 units from man + 2 units from woman).

- The total work done in 66 days is 66 days × 5 units/day = 330 units.

- Now, consider 6 men and 2 women.

- Efficiency for 6 men = 6 × 3 = 18 units/day.

- Efficiency for 2 women = 2 × 2 = 4 units/day.

- Together, 6 men and 2 women do 18 + 4 = 22 units per day.

- Time to finish 330 units is 330 units ÷ 22 units/day = 15 days.

- Correct Answer: Option 2, 15 days.

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