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

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Explanation:

Let the total work be 330 units.
Efficiency of a man and a woman together = $_{66}^{330}$ = 5 units/day
The ratio of the working efficiencies of man and woman is 3 : 2.
Efficiency of a man = 3 units/day
Efficiency of a woman = 2 units/day
Efficiency of 6 men and 2 women together = (6 x 3) + (2 x 2) = 22 units/day
Time required for 6 men and 2 women together to complete the work = $_{22}^{330}$ = 15 days
Hence, the correct answer is Option B