If 4 women and 6 girls can do a piece of work in 12 days, while 24 women and 46 girls can do the same in 2 days, how much time will 15 women and 20 girls do the same type of work?
Show answer & explanation
Correct answer: D
Explanation
Given:
4 women + 6 girls → 12 days
24 women + 46 girls → 2 days
Efficiency of 1 woman = w
Efficiency of 1 girl = g
Total work will be equal to
(4w + 6g) × 12 = (24w + 46g) × 2
48w + 72g = 48w + 92g
20g = 0
That means efficiency of girls = 0
Now total work = 4 × 12 = 48 women-days
Time taken by 15 women = 48 / 15 = 3.2 days
0.2 days = 0.2 × 24 hours = 4.8 hours
= 4 hours 48 minutes
3 days 4 hours 48 minutes