A man and a woman, working together can do 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?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 15
Total work = Time × efficiency
⇒ Total work = (3x + 2x) × 66
⇒ 330x
Work done by 6 men in a day = 6(3x)
⇒18x
Work done by 2 women in a day = 2(2x)
⇒ 4x
Number of days taken = 330x/(18x + 4x)
⇒ 330x/22x = 15