15 men and 25 women can complete a piece of work in 9.6 days. If 16 women can complete the same work in 27 days, find the number of days in which 16 men can complete the same work.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 20.25.
15 men and 25 women can complete a piece of work = 9.6 days
16 women can complete the same work = 27 days
(15M + 25W)9.6 = 16W × 27
⇒ 15M + 25W = 45W
⇒ 15M = 20W
⇒ M : W = 4 : 3
The number of days in which 16 men can complete the same work = (16W × 27)/16M
= (16 × 3 × 27)/(16 × 4)
= 81/4
= 20.25 days