SOLUTION: One painter works 1 1/2 times as fast as a second painter.? Find their individual times for painting a room if, working together, they can complete the job in 4 hours.

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Question 593903: One painter works 1 1/2 times as fast as a second painter.?
Find their individual times for painting a room if, working together, they can complete the job in 4 hours.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One painter works 1 1/2 times as fast as a second painter.?
Find their individual times for painting a room if, working together, they can complete the job in 4 hours.
:
Let t = time required by one painter to do the job
then
1.5t = time required by the other painter
:
Let the completed job = 1 (a painted room)
:
A shared work equation
4%2Ft + 4%2F%281.5t%29 = 1
Multiply by 3t to clear the denominators
3t*4%2Ft + 3t*4%2F%281.5t%29 = 3t(1)
Cancel the denominaors
3(4) + 2(4) = 3t
12 + 8 = 3t
t = 20%2F3
t = 6.67 hrs working alone
and
1.5*6.66 = 10 hrs the slow painter working alone