SOLUTION: It takes 10 days for 4 men working 6 hours a day to complete some work. How many days will 3 men working 8 hours a day take to complete the same work?

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Question 946457: It takes 10 days for 4 men working 6 hours a day to complete some work. How many days will 3 men working 8 hours a day take to complete the same work?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the time in hours for 1 job. Each man has the rate of r job per hours.

For n men working the rate is n*r.

Handle the question first by looking for how many hours for the three men.
3r%2At=1, for the one job, and this must be the same quantity of job as 4r%2A%2810%2A6%29=1.

Remember, for now, t is how many HOURS of work.
highlight_green%283rt=4r%2A60%29;
t=%284%2A60%29%2F3
t=4%2A20
highlight_green%28t=80%29, HOURS.

This is 10 days, because as given, 8 hours per day.