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to complete a task in 16 days a company needs
5 people each working for 6 hours per day.
the company decides to have
8 people each working for 4 hours per day.
assuming that each person works at the same rate,
how many days will the task take to complete?

User Wkampmann
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1 Answer

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Okay, let's solve this step-by-step:

* The original scenario: 5 people working 6 hours per day.

* Each person works 6*5 = 30 hours per day total for the 5 people

* The task takes 16 days with this setup

* The new scenario: 8 people working 4 hours per day

* Each person now works 4 hours, so total hours per day for 8 people is 4*8 = 32 hours

* We want to know how many days this will take them.

* Since they now work 32 hours per day instead of the original 30 hours, that means they do 32/30 = 1.07 times more work each day

* So the number of days it will now take them is the original 16 days divided by 1.07, which is approximately 15 days

So the answer is: 15 days

User Prakash
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