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A carpenter worked alone for 1 day on a job that would take him 6 more : Multiple-choice Questions — Select One Answer Choice

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Re: A carpenter worked alone for 1 day on a job that would take him 6 more [#permalink]
Can I plug in any value replacing 56? Will it still give me the same answer?

GreenlightTestPrep wrote:
GeminiHeat wrote:
A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?

A) \(4 \frac{2}{3}\)

B) 7

C) 9

D) 14

E) 24

A straightforward approach is to assign a nice value to the job.
We're looking for a number that works well with the given numbers (7 days to complete the job, and 4 extra days with help).
So let's say the carpentry job consists of making 56 wooden widgets

GIVEN: A carpenter worked alone for 1 day on a job that would take him 6 more days to finish.
This tells us that it would take the carpenter 7 days to make 56 wooden widgets
So, in ONE day, the carpenter can make 8 wooden widgets.
So, after the first day, the number of widgets we still need to make = 56 - 8 = 48

GIVEN: He and another carpenter completed the job in 4 more days.
So the two carpenters we're able to make 48 wooden widgets in 4 days
This means their COMBINED rate is 12 widgets per day
We already know that the FIRST carpenter makes 8 wooden widgets per day
This means the SECOND carpenter can make 4 wooden widgets per day.

QUESTION: How many days would it have taken the second carpenter to do the complete job working alone?
The job consists of making 56 wooden widgets
The SECOND carpenter can make 4 wooden widgets per day

time = output/rate
So, time = 56/4 = 14 days

Answer: D

Cheers,
Brent
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Re: A carpenter worked alone for 1 day on a job that would take him 6 more [#permalink]
1
Chaithraln2499 wrote:
Can I plug in any value replacing 56? Will it still give me the same answer?


Yes.
Try it.
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Re: A carpenter worked alone for 1 day on a job that would take him 6 more [#permalink]
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