SOLUTION: It takes you 3 hours working alone to clean your​ apartment, and your spouse takes 6 hours and 30 minutes. If you work​ together, how long will it take to complete the​ clean

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes you 3 hours working alone to clean your​ apartment, and your spouse takes 6 hours and 30 minutes. If you work​ together, how long will it take to complete the​ clean      Log On


   



Question 1174866: It takes you 3 hours working alone to clean your​ apartment, and your spouse takes 6 hours and 30 minutes. If you work​ together, how long will it take to complete the​ cleaning?

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Your rate working alone = 1/3 of the apartment per hour
Your spouse's rate working alone = 1/6.5 of the apartment per hour

Rate working together = 1/3 + 1/6.5 = 1/3 + 2/13 = 13/39 + 6/39 = 19/39

If, working together, 19/39 of the apartment is cleaned per hour, this means it takes 39/19 hours to clean the apartment working together.