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Mathematics

6 men can do a certain piece of work in 15 days. The number of men required to complete the same work in 10 days:

  1. 30

  2. 25

  3. 60

  4. 9

Direct & Inverse Variations

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Answer

Let x men be required to complete the work in 10 days.

MenDays
615
x10

Since it is a case of inverse variation,

∴6×15=x×10⇒90=10x⇒x=9010⇒x=9\therefore 6 \times 15 = x \times 10\\[1em] \Rightarrow 90 = 10x\\[1em] \Rightarrow x = \dfrac{90}{10}\\[1em] \Rightarrow x = 9

Hence, option 4 is the correct option.

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