SOLUTION: Sally can paint a room in 9 hours while it takes steve 8 hours to paint the same room. How long would it take them to paint the room if they worked together?

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Question 227128: Sally can paint a room in 9 hours while it takes steve 8 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer by josmiceli(6786) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of woking to get rate
working together
In words:
(1 room/Sally's time) + (1 room/Steve's time) = (1 room)/(time working together)
1%2F9+%2B+1%2F8+=+1%2Fx
Multiply both sides by 72x
8x+%2B+9x+=+72
17x+=+72
x+=+4.24 hrs
.24%2A60+=+14.4
working together, they can paint the room in 4 hrs 14 min