3 girls can do a piece of work in 8 days, 3 boys can do the same piece of work in 9 days, 7 men do the same piece of work in 3 days and 6 women can do the same piece of work in 4 days. Who is the most efficient?

3 girls can do a piece of work in 8 days, 3 boys can do the same piece of work in 9 days, 7 men do the same piece of work in 3 days and 6 women can do the same piece of work in 4 days. Who is the most efficient?
1). Boys
2). Girls
3). Women
4). Men

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Guest · Answer 1 · 2019-06-26 17:14:03

Based on given data,

Work done by 3 girls in 1 day = 1/8

Work done by 3 boys in 1 day = 1/9

Work done by 7 men in 1 day = 1/3

Work done by 6 women in 1 day = 1/4

Assuming all girls are equally efficient,

Work done by 1 girl in 1 day = 1/3 × 1/8 = 1/24 ---(1)

Assuming all boys are equally efficient,

Work done by 1 boy in 1 day = 1/3 × 1/9 = 1/27 ---(2)

Assuming all men are equally efficient,

Work done by 1 man in 1 day = 1/7 × 1/3 = 1/21 ---(3)

Assuming all women are equally efficient,

Work done by 1 woman in 1 day = 1/6 × 1/4 = 1/24 ---(4)

From 1,2,3,4,

1/27 < 1/24 < 1/21

Thus the least efficiency is 1/27 and the greatest efficiency is 1/21.

Thus, men are the most efficient.

3 girls can do a piece of work in 8 days, 3 boys can do the same piece of work in 9 days, 7 men do the same piece of work in 3 days and 6 women can do the same piece of work in 4 days. Who is the most efficient?

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