4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 40.
Let the efficiency of 1 man and 1 woman be M and W respectively.
According to the given question,
(4M + 6W) × 8 = (3M + 7W) × 10
⇒ 16M + 24W = 15M + 35W
⇒ M = 11W
Let the work completed by 10 women in x days.
Now, [(4 × 11)W + 6W] × 8 = 10W × x
⇒ 50W × 8 = 10W × x
⇒ x = 40