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
Answer: E
Cheers,
Brent
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