15 men can complete a work in 25 days, and 25 women can complete the same work in 40 days. If all 15 men and 25 women work together, in how many days will the work be completed?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 15 days
Given that
15 men can complete a work in 25 days
25 women can complete the same work in 40 days
Let the efficiency of a men be M and a woman be W
According to the question
⇒ 15 M × 25 = 25 W × 40
⇒ M/W = 8/3
Total work = 15 M × 25 = 15 × 8 × 25 = 3000
Hence, all 15 men and 25 women work together,
⇒ 3000/(15 × 8 + 25 × 3) = 3000/195 = 15 days