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Mathematics

72 men do a piece of work in 25 days. In how many days will 30 men do the same work?

Direct & Inverse Variations

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Answer

Let 30 men do the same work in x days.

MenDays
7225
30x

Since it is a case of inverse variation,

∴72×25=30×x⇒1,800=30x⇒x=1,80030⇒x=60\therefore 72 \times 25 = 30 \times x\\[1em] \Rightarrow 1,800 = 30x\\[1em] \Rightarrow x = \dfrac{1,800}{30}\\[1em] \Rightarrow x = 60

Hence, 30 men will do the same work in 60 days.

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