6 men and 8 women can do a piece of work in 10 days, whereas 26 men and 48 women can do the same work in 2 days. What will be the time taken by 15 men and 20 women to do the same work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 4 days
Concept used:
Work and efficiency
Calculations:
Let the number of men be m and women be w
According to the questions;
⇒ (6m + 8w) × 10 = (26m + 48w) × 2
⇒ 30m + 40w = 26m + 48w
⇒ 4m = 8w
⇒ m : w = 2 : 1
Total work = (6 × 2 + 8) × 10 = 200
Required days = 200/(15 × 2 + 20) = 200/50 = 4 days