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If 16 machines do a piece of work in 4 days, then 8 machines will do the same job in:

If 16 machines do a piece of work in 4 days, then 8 machines will do the same job in:

Explanation
Given:

  • 16 machines finish the work in 4 days

  • Now we want to know how many days will take 8 machines for the same work

Concept:

More machines → Less time
Fewer machines → More time
This is an inverse proportion relationship.

So,


text{Days} propto frac{1}{text{Machines}}
text{New Days} = 4 times frac{16}{8} = 4 times 2 = 8 text{ days}