Eighteen men can complete a work in 14 days. Three women do as much as two men. Five men and six women started the work and continued for 4 days. Subsequently 3 more men joined the group. In how many total days was the work completed ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 22
We have given,
3 W = 2 M
W/M = 2/3
The ratio of the efficiency man and woman = 3 : 2
Eighteen men can complete a work in 14 days
Total work = 18 × 14 × 3 = 756
Five men and six women started the work and continued for 4 days.
So, 4 days work = (5M + 6W) × 4
= (5 × 3 + 6 × 2) × 4
= 108
Remaining work = 756 - 108 = 648
3 more man added in the team
So, remaining work done by (8M + 6W) = (8 × 3 + 6 × 2 = 36)
= 648/36
= 22 days