Question: A man, a woman or a boy can do a piece of work in 3, 4 and 12 days, respectively. The number of boys that must assist one man and one woman to do the work in one day, is
Options:
A) 6
B) 8
C) 9
D) 5
Show Answer
Answer:
Correct Answer: D
Solution:
- 1 man’s 1 day’s work $ =\frac{1}{3} $
1 woman’s 1 day’s work $ =\frac{1}{4} $
1 boy’s 1 day’s work $ =\frac{1}{12} $
Let x boys must be assist.
$ \frac{1}{3}+\frac{1}{4}+\frac{x}{12}=1 $
$ \Rightarrow $ $ \frac{x}{12}=1-\frac{7}{12} $
$ \Rightarrow $ $ \frac{x}{12}=\frac{5}{12} $
$ \Rightarrow $ $ x=5 $