6 women and 4 men can complete a work in 10 days, while 4 women and 5 men complete it in 10 days. In how many days will 8 women complete it?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 17.5 days.
Let Woman = W and Man = M
10(6W + 4M) = 10(4W + 5M)
⇒ 6W + 4M = 4W + 5M
⇒ 2W = M
6W + 4M = 6W + 8W = 14W
14 women can complete the work in 10 days
So the time required for 8 women = (14 × 10)/8 = 17.5 days