SOLUTION: A piece of work can be done by 5 men in 10 days. After 4 days, 3 men were transferred to another job. how many more days will the remaining men finish the job?

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Question 773494: A piece of work can be done by 5 men in 10 days. After 4 days, 3 men were transferred to another job. how many more days will the remaining men finish the job?
Found 4 solutions by 12217B, MathTherapy, josgarithmetic, ikleyn:
Answer by 12217B(1) About Me  (Show Source):
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5 men use 10 days.
1 man uses 2 days.
2 men use 4 days.
10-4-4=2
2+4=6

Answer by MathTherapy(10719) About Me  (Show Source):
You can put this solution on YOUR website!
A piece of work can be done by 5 men in 10 days. After 4 days, 3 men were transferred to another job. how many more
days will the remaining men finish the job?
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What the other person has for an answer makes absolutely NO SENSE. How can it take 2 men, just 6 days to complete a job that
a group of 5 men, who normally take 10 days to complete the job, worked for 4 days, and then left the 2 men to complete? 

5-MAN rate: 1%2F10
1-MAN rate: 1%2F%285%29%2810%29+=+1%2F50
2-MAN rate: 2%281%2F50%29+=+2%2F50+=+1%2F25

Formula: (Time 1 * rate 1) + Time 2 * rate 2) = 1 (entire job)
                               4%281%2F10%29+%2B+T%281%2F25%29+=+1
                                       2%2F5+%2B+T%2F25+=+1
                                      10 + T = 25 ---- Multiplying by LCD, 25 

Time taken for remaining 2 men to complete job, or T = 25 - 10 = 15 days

Answer by josgarithmetic(39736) About Me  (Show Source):
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r, the work rate of 1 man
For 5 men working 10 days to do 1 "piece of work"
5r%2A10=1
or
r=1%2F50

Five men worked for 4 days and then 2 men worked for some x days to finish.
highlight_green%285%281%2F50%29%2A4%2B2%281%2F50%29x=1%29
5%2A4%2B2x=50
2x=50-20
2x=30
highlight%28x=15%29

Answer by ikleyn(53619) About Me  (Show Source):
You can put this solution on YOUR website!
.
A piece of work can be done by 5 men in 10 days. After 4 days, 3 men were transferred to another job.
how many more days will the remaining men finish the job?
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        I will show another way to solve, using different method.

        Its advantage is that the fractions or equations are not used. 


The total job is 5 men * 10 days = 50 man-days.


In the first 4 days, 5 men used 5*4 = 20 man-days;  50 - 20 = 30 man-days work remained.


Now only 5 - 3 = 2 men work.  They need 30/2 = 15 days to complete the remaining job.


So, the remaining 2 men will finish the rest of the job in 15 days.    <<<---===  ANSWER

Solved completely, using mental reasoning instead equations and/or fractions.