SOLUTION: 4 men planned to complete a piece of work in 10 days,3 men worked for 4 days after which 4 men were employed.find the total number of days taken to complete the work?

Question 1086672: 4 men planned to complete a piece of work in 10 days,3 men worked for 4 days after which 4 men were employed.find the total number of days taken to complete the work?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
4 men planned to complete a piece of work in 10 days
1 man will take 4 times as long to do the work
The rate for 1 man is [ 1 job ] / [ 40 days ]
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In 4 days 1 man does of the job
In 4 days 3 men do of the job
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There is of the job left to do
Let = time in days for 4 men to do
of the job
One of the men will take 4 times as long to do
of the job, so is the rate for 1 man
-----------------
The rate for 1 man is [ 1 job ] / [ 40 days ], so I can say:

days
--------------------
The total nuber of days to complete the work is:
days
--------------------
Definitely get a 2nd opinion on this. I could easily
go off track on this.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
4 men planned to complete a piece of work in 10 days,3 men worked for 4 days after which 4 men were employed.find the total number of days taken to complete the work?

It depends!
In 4 days, 3 men completed: of the job, leaving undone.
Now, to complete the remaining of the job, how many men are working? Is it:
1) the original 4, plus the newly-employed 4, for a total of 8?
2) the 3 that worked for 4 days, plus the 4 newly-employed 4, for a total of 7?
3) the 4 newly-employed for a total of 4?
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