It takes Gary 1 hour to milk all the cows, and it takes Dana 1.5 hours. How long will it take them to do the job together? Please explain all the steps and models/equations used. Thanks so much.

It takes Gary 1 hour to milk all the cows.  1 hour per job ==> 1 job per hour.It takes Dana 1.5 hours.  1.5 hour per job ==> 1/1.5 job per hour.Working together, they can do (1/1 + 1/1.5) job per hour.To add these fractions, put them over a common denominator:(1/1 + 1/1.5) = (1.5/1.5 + 1/1.5) = (2.5/1.5) = 5/3 job per hour.5/3 job per hour ==> 3/5 hour per job.3/5 hour = 36 minutes.