Question : Some girls can do work in 10 days. In how much time twice of such girls complete four times of the same work?
Option 1: 25 days
Option 2: 30 days
Option 3: 10 days
Option 4: 20 days
Correct Answer: 20 days
Solution :
Given: Some girls can do work in 10 days.
Let the initial number of girls and total work be $x$ and $y$ respectively.
Use the formula, $\frac{M_1D_1}{W_1}=\frac{M_2D_2}{W_2}$ where $M_1$ and $M_2$ are the persons, $W_1$ and $W_2$ are the work and $D_1$ and $D_2$ are the days.
According to the question,
⇒ $\frac{x\times 10}{y}=\frac{2x\times D_2}{4y}$
⇒ $D_2=20$ days
Hence, the correct answer is 20 days.
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