SOLUTION: if it takes 8 1/2 hours for 6 workers to pave 140 meters of road how many hours would it take 4 works to pave 280 meters of road?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: if it takes 8 1/2 hours for 6 workers to pave 140 meters of road how many hours would it take 4 works to pave 280 meters of road?      Log On


   

Question 922806: if it takes 8 1/2 hours for 6 workers to pave 140 meters of road how many hours would it take 4 works to pave 280 meters of road?
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=amount of hours it takes 4 workers to pave 280 meters of road
If it takes 8 1/2 hours for 6 workers to pave 140 meters of road, then it takes (8 1/2)*6=51 worker-hours to pave 140 meters of road. This means that 1 worker works at the rate of (140/51) meters per hour; 4 workers then would work at the rate of 4*(140/51)=(560/51) meters per hour. Now our equation to solve is:
(560)/51)*x=280 meters
x=280*(51/560)=51/2=25 1/2 hours
CK
(560/51)*25 1/2=280
560/2=280
280=280
Hope this helps---ptaylor