SOLUTION: Brendan can paint a room in 16 hours. Brian can paint the same room in 20 hours. How long does it take for both Brendan and Brian to paint the room if they are working together?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Brendan can paint a room in 16 hours. Brian can paint the same room in 20 hours. How long does it take for both Brendan and Brian to paint the room if they are working together?       Log On


   

Question 932024: Brendan can paint a room in 16 hours. Brian can paint the same room in 20 hours. How long does it take for both Brendan and Brian to paint the room if they are working together?
Write an equation that using the variable t to represent the time it takes to paint the room together that can be used to solve the problem.
Equation:________
How long does it take? _______ hours
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
per hour KEY
1%2F16+%2B+1%2F20+=+1%2Ft
20t + 16t = 320
36t = 320
t = 320/36 = 80/9 = 8 8/9 hr