5 men and 8 women can complete a work in 12 days working together, while 3 men and 7 women together can complete the same work in 15 days. In how many days will 11 women complete the same work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 12.
Concept used:
W = D × M,
where W = work, D = time and M = number of men
Calculations:
Let the number of men and women be m and w.
According to the question;
⇒ (5m + 8w) × 12 = (3m + 7w) × 15
⇒ 20m + 32w = 15m + 35w
⇒ m/w = 3/5
Total work = (5 × 3 + 8 × 5) × 12 = 55 × 12
Required time = (55 × 12)/(11 × 5) = 12