Mathematics

If 56 workers can build a wall in 180 hours, how many workers will be required to do the same work in 70 hours?

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Let x workers do the same work in 70 hours.

Workers	Time (in hours)
56	180
x	70

Since it is a case of inverse variation,

$\therefore 56 \times 180 = x \times 70\\[1em] \Rightarrow 10,080 = 70x\\[1em] \Rightarrow x = \dfrac{10,080}{70}\\[1em] \Rightarrow x = 144$

Hence, 144 workers will do the work in 70 hours.

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