SOLUTION: 12 men working 7 hours a day can finish a job in 6 days. How many more hours a day must 8 men work in order to finish the jon in 7 days? What would the equation be?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 12 men working 7 hours a day can finish a job in 6 days. How many more hours a day must 8 men work in order to finish the jon in 7 days? What would the equation be?      Log On


   



Question 475834: 12 men working 7 hours a day can finish a job in 6 days. How many more hours a day must 8 men work in order to finish the jon in 7 days?
What would the equation be?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
12 men working 7 hours a day can finish a job in 6 days.
How many more hours a day must 8 men work in order to finish the job in 7 days?
What would the equation be?
:
Find the number of man-hours required to do the job
12 * 7 * 6 = 504 man-hrs
:
Let m = no. of more hrs per day required for 8 men to do the job in 7 days
:
8 * (m+7) * 7 = 504
8(m+7) * 7 = 504
7(8m+56) = 504
56m + 382 = 504
56m = 112
m = 112%2F56
m = 2 more hrs a day required
:
:
See if this adds up
8 * 9 * 7 = 504, it does