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 25 women complete it?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 16.
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
⇒ 1M = 11W
Total work = (4(11) + 6) × 8
⇒ 50 × 8 = 400
Now, time taken by 25 women = 400/25
⇒ 16 days