SOLUTION: You do half of a job in one hour. Your friend does one third of the same job in one hour. How long will it take you and your friend to do the job together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: You do half of a job in one hour. Your friend does one third of the same job in one hour. How long will it take you and your friend to do the job together?      Log On


   

Question 1013355: You do half of a job in one hour. Your friend does one third of the same job in one hour. How long will it take you and your friend to do the job together?
Found 2 solutions by fractalier, josgarithmetic:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The set up looks like this
t/2 + t/3 = 1
Multiply by 6 and solve
3t + 2t = 6
5t = 6
t = 6/5 hours

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Self, 1%2F2 job in 1 hour, makes 1%2F2 JOBS per HOUR.

Friend, 1%2F3 job in 1 hour or JOBS per HOUR.


Self and Friend working together:
1%2F2%2B1%2F3, JOBS per HOUR.

3%2F6%2B2%2F6

5%2F6 JOBS per HOURS

To get the time for one job, 6%2F5 HOURS per JOB;
which is 1%261%2F5 hours for 1 job, or 1 hour 12 minutes.