Question

If 24 women and 32 girls can do a piece of work in 2.5 weeks, while 26 women and 48 girls can complete it in 2 weeks, what is the ratio of daily work done by a woman to that of a girl?

• A. 2:1
• B. 4:3
• C. 5:4
• D. 3:2
• E. None of these

Answer 1

The correct option is A

2:1

Let 1 woman's 1 week's work = x and 1 girl's 1 week's work = y
Then, $24x+32y=\frac{2}{5}$ and $26x+48y=\frac{1}{2}$
Solving these two equations, we get : $x=\frac{1}{100}$ and $y=\frac{1}{200}$
$\therefore$ Required ratio = x : y $=\frac{1}{100}:\frac{1}{200}=2:1$