13.5 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
A. 1 : 2 B. 1 : 3
C. 2 : 1 D. 3 : 1
Answer:
Let 1 man's 1 day's work = x
and 1 boy's 1 day's work = y
Then, 12x+16y =1/5
13x+24y =1/4
Solving these two equations, we get x= 1/100 and y=1/200
Required ratio = x : y
= 1/100 : 1/200
= 2 : 1