10 men and 8 women can do a piece of work in 7 days, whereas 6 men and 9 women can do the same work in 10 days. In how many days will 35 women complete the same work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 6.
According to the question,
⇒ (10M + 8W) × = (6M + 9W) × 10
⇒ 150M + 120W = 120M + 180W
⇒ 30M = 60W
⇒ M = 2W
Total work = (6M + 9W) × 10
⇒ (12W + 9W) × 10 = 21W × 10 = 210W
Time taken by 35W = = 6 days