If 9 men and 6 women working together can do six times as much work per hour as 1 man and 2 women working together, then the ratio of the work done by 1 man and that of 1 woman in a given time is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2 : 1.
Let the work done by 1 man and 1 woman be M and W respectively.
Given, 9M + 6W = 6(1M + 2W)
⇒ 9M - 6M = 12W - 6W
⇒ 3M = 6W
⇒ M : W = 2 : 1