SOLUTION: It took 2 hours for 1 person to sweep the yard. How long would it take 4 persons working at the same speed to do the same job? My attempt: Firstly, it has to take less than 2

Algebra ->  Proportions -> SOLUTION: It took 2 hours for 1 person to sweep the yard. How long would it take 4 persons working at the same speed to do the same job? My attempt: Firstly, it has to take less than 2       Log On


   



Question 510705: It took 2 hours for 1 person to sweep the yard. How long would it take 4 persons working at the same speed to do the same job?
My attempt:
Firstly, it has to take less than 2 hours since the number of persons has been increased.
The # of persons has been increased by 3 so:
Increase in persons/ Time = 3 / 2
1.5 hours.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
It took 2 hours for 1 person to sweep the yard.
How long would it take 4 persons working at the same speed to do the same job?
:
Assume they each had broom, and worked at the same rate (2hrs to complete the job)
:
Let t = time required by 4 men doing the job
Let the completed job = 1
:
Each will do a fraction of the job, and the fractions will add up to 1
t%2F2 + t%2F2 + t%2F2 + t%2F2 = 1
Multiply thru by 2
t + t + t + t = 2
4t = 2
t = 2%2F4
t = 1%2F2 hr with all 4 men sweeping