SOLUTION: melissa can clean the house in 4hours, whereas her husband, zack, can do the same job in 5 hours. They have agreed to clean together so that they can finish in the to watch a movie

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: melissa can clean the house in 4hours, whereas her husband, zack, can do the same job in 5 hours. They have agreed to clean together so that they can finish in the to watch a movie      Log On


   

Question 232142: melissa can clean the house in 4hours, whereas her husband, zack, can do the same job in 5 hours. They have agreed to clean together so that they can finish in the to watch a movie on TV that starts in 2 hours. How long will it take them to clean the house together? Can they finish before the movie starts?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
melissa can clean the house in 4hours, whereas her husband, zack, can do the same job in 5 hours.
They have agreed to clean together so that they can finish in the to watch a movie on TV that starts in 2 hours.
How long will it take them to clean the house together? Can they finish before the movie starts?
:
Let t = time required working together
:
Let the completed job (a clean house) = 1
:
t%2F4 + t%2F5 = 1
multiply by 20
5t + 4t = 20
9t = 20
t = 20%2F9
t = 2.22 hrs, so no they can't, they will be about 13 min late