Hi,

16 machines can finish a JOB in 36 days.

Let me re frame the sentence here:

In 36 days 16 machines can finish a JOB.

In 1 day 16 machines can finish (1/36) part of JOB

In 1 day 1 machine can finish 1/(36*16) part of JOB---------------------------- (1)

We know that the JOB has to be completed in one-third less time which means 36-1/3*(36) = 24 days

From (1)

In 24 days 1 machine can finish 24/(36*16) part of JOB i.e. 1/24 part of JOB

So you need 24 machines to finish the JOB in 24 days.So number of extra machines that you need is 24 -16 =

8Answer

BHope the explanation is clear!

Consider giving Kudos

Ambarish

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Kindly press Kudos if the explanation is clear.

Thank you

Ambarish