SOLUTION: A crew of ten workers was hired to complete a job in 8 days. After working for two days, there was a new request to complete this job in two days. How many more workers need to be

Question 1067620: A crew of ten workers was hired to complete a job in 8 days. After working for two days, there was a new request to complete this job in two days. How many more workers need to be hired to finish this job in 2 days?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I'm assuming that the 10 workers, working at
their normal rate would finish the job in exactly
8 days.
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The rate of working for 1 worker is:
[ 1/10 of the job ] / [ 8 days ] = [ 1 job ] / [ 80 days ]
This is also [ 1/80 of the job ] / [ 1 day ]
In 2 days, the fraction of the job that gets done is:

The leaves of the job left
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Now the rate has to be jobs/days
Let = the number of additional workers needed to
finish the job in 2 days
-----------------------------------

Multiply both sides by

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29 additional workers need to be added
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check answer: there is a total of workers to
do 39/40 of the job in days
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Each worker will do of the job in days
That is of the job in 1 day
This agrees with my original calculation
-------------------------------
Definitely try to get another opinion on this!

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

A crew of ten workers was hired to complete a job in 8 days. After working for two days, there was a new request to complete this job in two days. How many more workers need to be hired to finish this job in 2 days?

Fraction of job done by 10 workers in 2 days:
Fraction of job remaining after 10 workers worked 2 days:
Now, of job remains to be done in 2 days, by 10 + A, with A being the additional workers
This will take: , or a total of 30 (10 + 20) workers to complete the job in 2 days.
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