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  4. A certain number of people can complete a piece of work in 12 days working 5 h a day. If the number of men is decreased by half, then how many hours a day should they work, so that the work is to be completed in 15 days?

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Q. A certain number of people can complete a piece of work in 12 days working $5 h$ a day. If the number of men is decreased by half, then how many hours a day should they work, so that the work is to be completed in 15 days?

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Solution:

(i) Use variation method.
(ii) Consider the number of men as $x$ in first case. Therefore, the number of men in second case is $x / 2$.
(iii) Use $\frac{M_1 D_1 H_1}{W_1}=\frac{M_2 D_2 H_2}{W_2}$ and find $H _2$.