SOLUTION: It takes Stan three hours to mow the lawn and it takes Roger two hours. How long would it take them if they worked together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes Stan three hours to mow the lawn and it takes Roger two hours. How long would it take them if they worked together?      Log On


   



Question 335808: It takes Stan three hours to mow the lawn and it takes Roger two hours. How long would it take them if they worked together?
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
Stan 3 hours
so 1/3 of job he does in 1 hour.
Roger takes 2 hours
so he does 1/2 job in 1 hour.
..
together they do 1/3 + 1/2 job in 1 hour
=5/6 of the job in 1 hour.
so they will ake 6/5 hours to do the job.
1.2 hours
=1 hour 12 minutes