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