Question 72

12 women can make 15 toys in 6 days if they work for 8 hours a day. If 20 toys are to be made by 10 women, working 12 hours a day, then how many days will be required?

Solution

$$\frac{women_1\times\ days_1\times\ time_1}{\left(number\ of\ toys\right)_1}\ =\ \frac{women_2\times\ days_2\times\ time_2}{\left(number\ of\ toys\right)_2}$$

$$\frac{12\times6\times8}{15}=\frac{10\times days_2 \times12}{20}$$

$$12\times2\times8=10\times\ days_2\times3$$

$$192=30\times\ days_2$$

$$6.4=days_2$$

If 20 toys are to be made by 10 women, working 12 hours a day, then the required number of days will be 6.4 days.


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