Question 66

A work could be completed in 100 days by some workers. Due to the absence of 16 workers, the work was completed in 108 days. Find the original number of workers.

Solution

Let's assume the original number of workers is 'y'.

A work could be completed in 100 days by some workers. Due to the absence of 16 workers, the work was completed in 108 days.

$$y\times100\ =\ \left(y-16\right)\times108$$

$$100y\ =\ 108y-16\times108$$

$$108y-100y\ =\ 16\times108$$

$$8y\ =\ 16\times108$$

$$y\ =\ 2\times108$$

original number of workers = y = 216

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