SOLUTION: If x men working together at the same rate can complete a job in h hours, what part of the same job can one man working alone complete in k hours? a. k/xh b. h/xk c. k/x+h d. k

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If x men working together at the same rate can complete a job in h hours, what part of the same job can one man working alone complete in k hours? a. k/xh b. h/xk c. k/x+h d. k      Log On


   



Question 768385: If x men working together at the same rate can complete a job in h hours, what part of the same job can one man working alone complete in k hours?
a. k/xh
b. h/xk
c. k/x+h
d. kh/h
e. kx/h

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Each man contributes his own part of the job rate so rates are additive. One man takes x times longer than x men.

x men__________________h hours for 1 job
1 man__________________h*x hours for 1 job


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Having the one-man rate of 1%2F%28hx%29 job per hour you also can say the rate is hx hours per job.
If you want the man to do work for k hours, then:
k%2A%281%2F%28hx%29%29 hour%2A%28job%2Fhour%29
k%2F%28hx%29 job.