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# It takes 6 people 6 days to do a job. How many days would it take 2 pe

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Math Expert
Joined: 02 Sep 2009
Posts: 55618
It takes 6 people 6 days to do a job. How many days would it take 2 pe  [#permalink]

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07 Jan 2019, 05:18
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Difficulty:

5% (low)

Question Stats:

86% (00:39) correct 14% (00:54) wrong based on 59 sessions

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It takes 6 people 6 days to do a job. How many days would it take 2 people working at the same rate to do the job?

A. 3
B. 6
C. 12
D. 16
E. 18

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Re: It takes 6 people 6 days to do a job. How many days would it take 2 pe  [#permalink]

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07 Jan 2019, 05:32
Bunuel wrote:
It takes 6 people 6 days to do a job. How many days would it take 2 people working at the same rate to do the job?

A. 3
B. 6
C. 12
D. 16
E. 18

per person takes 36 days
so 2 people would take
36/2 = 18 days

IMO E
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Re: It takes 6 people 6 days to do a job. How many days would it take 2 pe  [#permalink]

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07 Jan 2019, 07:39
Top Contributor
Bunuel wrote:
It takes 6 people 6 days to do a job. How many days would it take 2 people working at the same rate to do the job?

A. 3
B. 6
C. 12
D. 16
E. 18

Let's assign a "nice" value to the job (i.e., a value that works well with the given numbers: 6, 6, 2)
Let's say the job consists of making 36 widgets

It takes 6 people 6 days to do a job.
In other words, it takes 6 people 6 days to make 36 widgets.
This means 6 people can make 6 widgets in 1 day [If we divide the number of workdays by 6, the OUTPUT is divided by 6]
It also means 1 person can make 1 widget in 1 day [If we divide the number of workers by 6, the OUTPUT is divided by 6]

How many days would it take 2 people working at the same rate to do the job?
If 1 person can make 1 widget in 1 day, then...
... 2 people can make 2 widgets in 1 day [If we double the number of workers, the OUTPUT is also doubled]
The entire job is to make 36 widgets
At a rate of 2 widgets per day, it will take the workers 18 days to make 36 widgets

Cheers,
Brent
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Re: It takes 6 people 6 days to do a job. How many days would it take 2 pe  [#permalink]

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12 Jan 2019, 02:09
Bunuel wrote:
It takes 6 people 6 days to do a job. How many days would it take 2 people working at the same rate to do the job?

A. 3
B. 6
C. 12
D. 16
E. 18

r * t = w

lets find rate:

6 Person * rate * time = work
6 * r * 6 = 1
36 * r = 1 --> r = 1/36

lets find time:

2 Person * rate * time = work
2 * 1/36 * t = 1
1/18 * t = 1 --> t = 18
Re: It takes 6 people 6 days to do a job. How many days would it take 2 pe   [#permalink] 12 Jan 2019, 02:09
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