SOLUTION: glenn can paint a house in 9 hours while stewart can paint the same house in 16 hours. they work together for 4 hours. after 4 hours stuart left and glenn finished the job alone. h

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Question 609686: glenn can paint a house in 9 hours while stewart can paint the same house in 16 hours. they work together for 4 hours. after 4 hours stuart left and glenn finished the job alone. how many more hours did it take glen to finish the job?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Glenn can paint a house in 9 hours while Stewart can paint the same house in 16 hours.
they work together for 4 hours.
after 4 hours Stuart left and Glenn finished the job alone.
how many more hours did it take glen to finish the job?
:
Let t = additional time for Glenn to complete the job
Let the completed job = 1
:
4%2F16 + %28%28t%2B4%29%29%2F9 = 1
Reduce the fraction
1%2F4 + %28%28t%2B4%29%29%2F9 = 1
multiply by 36 to clear the denominators, resulting in:
9 + 4(t+4) = 36
9 + 4t + 16 = 36
4t + 25 = 36
4t = 36 - 25
t = 11/4
t = 2.75 more hrs of work for Glenn