SOLUTION: If m men do a job in 10 days, how long will it take 10 men to complete this task, assuming that they work at the same rate? a)10/m b)100/m days c)100m days d)m/100 days e)m da

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If m men do a job in 10 days, how long will it take 10 men to complete this task, assuming that they work at the same rate? a)10/m b)100/m days c)100m days d)m/100 days e)m da      Log On


   

Question 888402: If m men do a job in 10 days, how long will it take 10 men to complete this task, assuming that they work at the same rate?
a)10/m
b)100/m days
c)100m days
d)m/100 days
e)m days
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
m men needing 10 days to do 1 job means our focus can be on doing 1 job.

Let r = rate of work for 1 man.

m%2Ar%2A10=10%2Ar%2At, and now t is time in days. We want to solve for t.
10rt=mr%2A10
t=%28mr%2A10%29%2F%2810%2Ar%29
highlight%28t=m%29