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If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours? -

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Question

If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?
Sum

Solution

Let the number of workers employed to build the wall in 30 hours be y.
Number of hours 48 30
Number of workers 15 y
Obviously more the number of workers, the faster will they build the wall.
So, the number of hours and number of workers vary in inverse proportion.
So 48 × 15 = 30 × y
Therefore, `(48 xx 15)/30 = y`
y = 24
i.e., to finish the work in 30 hours, 24 workers are required.
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