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Mathematics

12 men can repair a road is 25 days; how long will 30 men will take to do so?

Direct & Inverse Variations

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Answer

Let 30 men take x days to repair the road.

MenDays
1225
30x

Since it is a case of inverse variation,

∴12×25=30×x⇒300=30x⇒x=30030⇒x=10\therefore 12 \times 25 = 30 \times x\\[1em] \Rightarrow 300 = 30x\\[1em] \Rightarrow x = \dfrac{300}{30}\\[1em] \Rightarrow x = 10

Hence, 30 men will do the work in 10 days.

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