5 Men can do a piece of work in 6 days 6 Women can do 40 of same work in 4 days and 3 Children can d...........

Quant (SSC) Percentage

5 Men can do a piece of work in 6 days. 6 Women can do 40% of same work in 4 days and 3 Children can do 75% of same work in 6 days. If 2 Men, 3 Women and 1 Child start work alternately, then who will be the last to complete the work?

Men

Women

Child

Can't be determined

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Explanation:

5 Men = 6 days
2 Men = 6 x 5 /2 = 15 days
6 Women = 10 days
3 women = 10 x 6 /3 = 20 days
3 Children = 8 days
1 Children = 8 × 3 = 24 days
Total work = LCM of 15, 20 and 24 = 120
2 Men’s one day’s work = 8
3 Women’s one day’s work = 6
1 Child’s one day’s work = 5
Total work of 3 days = 19
Total work of 18 days = 114
Now, it’s 2 Men’s terms
So, 2 Men will be the last to complete the work.