SOLUTION: Working together, two people can cut a large lawn in 5 hr. One person can do the job alone in 1 hr less than the other. How long would it take the faster person to do the job?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working together, two people can cut a large lawn in 5 hr. One person can do the job alone in 1 hr less than the other. How long would it take the faster person to do the job?      Log On


   



Question 886752: Working together, two people can cut a large lawn in 5 hr. One person can do the job alone in 1 hr less than the other. How long would it take the faster person to do the job?
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Two people can cut one lawn in 5 hour; on their own, it takes approximately twice that, so 10 hours.
10 hours + 10 hours = 20 hours
A + B = 20
A = B+1
Substitute the value of A
(B+1) + B = 20
2B + 1 = 20
Subtract
2B = 19
B = 9.5
If B = 9.5 and A is an hour slower, A = 10.5
.
The faster person can cut the lawn by himself in highlight_green%289.5hours%29