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Pat takes 4 hours to complete a work, Quinn takes 6 hours an [#permalink]
2
Sumukh19 wrote:
I was a little bit confused in the final step of the problem. Thanks a lot for the explanation.

Posted from my mobile device


We COULD have used the our information to calculate the time it would take the three workers (working together) to complete the job (i.e., make 24 widgets), and then calculate how many widgets Pat would have made during that time.
However, this is unnecessary because we know that, for every hour worked, the three workers make a total of 13 widgets, of which Pat makes 6 widgets.

That said, let's see how the other (longer solution) would work....

Their COMBINED RATE = 6 + 4 + 3 = 13 widgets per hour.

Time = output/rate
So, the time required for the three workers to make 24 widgets = 24/13 hours.

Now let's calculate the the number of widgets Pat makes in 24/13 hours
Output = (rate)(time)
So, Pat's output = (6 widgets per hour)(24/13 hours) = 144/13 widgets

So, of the 24 widgets that the three workers made, Pat made 144/13 of them.

So, Pat's contribution = (144/13)/24 = 6/13 ≈ 46%

As you can see, that's a LOT more work.
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Re: Pat takes 4 hours to complete a work, Quinn takes 6 hours an [#permalink]
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Re: Pat takes 4 hours to complete a work, Quinn takes 6 hours an [#permalink]
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