5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a woman and a boy are in the ratio: - IQ786

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5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a woman and a boy are in the ratio:

5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a woman and a boy are in the ratio:

1 : 2

2 : 1

1 : 3

6 : 7

Explanation

We are given:

5 men and 2 boys = 4 times (1 man + 1 boy)

Step 1: Let work capacities be M (man) and B (boy)

Work done by 5M + 2B = 4 (M + B)
Expanding: $5 M + 2 B = 4 M + 4 B$
Rearranging: $5 M - 4 M = 4 B - 2 B$

So, the ratio of a man’s work to a boy’s work = 2:1.

Answer: (b) 2:1