SOLUTION: Four men working together can dig a trench in 42 days. They begin the job, but one worker works only 1/2 days. How long will it take to complete the job?

Question 831014: Four men working together can dig a trench in 42 days. They begin the job, but one worker works only 1/2 days. How long will it take to complete the job?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The rate for 4 men is 1 trench in 42 days
Let = the fraction of a trench dug
by 4 men in 1/2 day

----------------
That means there is
of a trench left to dig after 1/2 day
----------------
3 men have to finish the job
If 4 men take 42 days to dig a trench,
1 man takes 4 times as long, or days
3 men take 1/3 of that time, or 56 days
Let = the number of days for 3
men to dig of the trench

It will take days
to finish the job
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Hope I got it

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