A machine firm takes 16 days to manufacture a given number of products. How many machines would be required to produce the same number of products in 4 days?

Given:  A machine firm takes 16 days to manufacture a given number of products.

To find: How many machines would be required to produce the same number of products in 4 days?

Solution:

Let it take y machines to produce a certain number of products in 16 days.

To find the number of machines required to produce the same number of products in 4 days.

This is a case of inverse proportion. For the work to be done in fewer days, more machines are required.

So for  16 days -- y machines

     for 4 days --- ? machines

= $y \times \frac{16}{4}$ = $4y$ machines are required.

So, four times as many machines are required for doing the same work in 4 days instead of 16 days.

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Updated on: 10-Oct-2022

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