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There are multiple approaches to solve this Question. Let’s try a simple approach.
Since it is given that each machine work at the same constant rate, we can assume that each machine will do 1 order in 1 hour.
No of orders done by 1 machine in 36 hours = 36 orders
Total no of orders done by 3 machines in 36 hours = 36* 3 orders
If we add one more machine, then there is a total of 4 machines
Time taken by 4 machines to do the same no of orders = 36*3/4 = 9* 3 = 27 hours.

So four machines working together can fulfill the orders in 9 hours less time.

Option B is the answer.

Thanks,
Clifin J Francis
GMAT SME
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1/x + 1/x + 1/x= 1/36

x= 36*3

new time (36*3)/4 = 27

Difference = 36-24= 9.

Option B
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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