SOLUTION: a painter can finish painting a house in 8 hours. Her assistant takes 10 hours to finish the same job. how long would it take for them to complete the job if they were working toge

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a painter can finish painting a house in 8 hours. Her assistant takes 10 hours to finish the same job. how long would it take for them to complete the job if they were working toge      Log On


   

Question 568307: a painter can finish painting a house in 8 hours. Her assistant takes 10 hours to finish the same job. how long would it take for them to complete the job if they were working together?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
a painter can finish painting a house in 8 hours. Her assistant takes 10 hours to finish the same job. how long would it take for them to complete the job if they were working together?
Let x = time (hours) it takes working together
then
x(1/8 + 1/10) = 1
multiplying both sides by 80:
x(10 + 8) = 80
x(18) = 80
x = 80/18
x = 4.44 hours
or
x = 4 hours and 27 minutes