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:
Answer: 2 : 1
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: 5M+2B=4M+4B
- Rearranging: 5M−4M=4B−2B
M = 2 B
So, the ratio of a man’s work to a boy’s work = 2:1.
Answer: (b) 2:1
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