SOLUTION: Six men working at the same rate can weed a farm in 16 days. After working for 4 days, 2 more men were hired. How long did they take to weed the farm?

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Question 1156875: Six men working at the same rate can weed a farm in 16 days. After working for 4 days, 2 more men were hired. How long did they take to weed the farm?
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
Six men working at the same rate can weed a farm in 16 days. After working for 4 days, 2 more men were hired. How long did they take to weed the farm?

6 men ----16 days
1 man-----x days
1 man does 1/96 of the job in 1 day
6 men will do 6/96 =1/16 of the job in 1 day
they work for 4 days so they complete 4*1/16 of the job = 1/4 of the job
Balance job = 1-(1/4) = 3/4 of the job
8 men will complete 8*1/96 of the job in 1 day= 1/12 of the job

1/12 of the job in 1 day
3/4 of the job in y days
y = (3/4)/(1/12)
y = Balance job in 9 days
9+4 =13 days
The job will be completed in 13 days instead of 16 days

check calc

Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
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Six men working at the same rate can weed a farm in 16 days.
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r, the rate for one man
For one job of "weed a farm", and 6 men doing this job, .
Or, .

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After working for 4 days, 2 more men were hired. How long did they take to weed the farm?
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"They" meaning all 6+2=8 men together to finish the job.

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--------------------- nine more days after hiring the two more men