SOLUTION: Quinn can refinish hardwood floors four times as fast as Jack. They have to refinish 100 ft^2 of flooring. Working together, Quinn and Jack can finish the job in 3 hours. How lo

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Question 303077: Quinn can refinish hardwood floors four times as fast as Jack. They have to refinish 100 ft^2 of flooring. Working together, Quinn and Jack can finish the job in 3 hours. How long would it take each of them working alone?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Quinn can refinish hardwood floors four times as fast as Jack.
They have to refinish 100 ft^2 of flooring.
Working together, Quinn and Jack can finish the job in 3 hours.
How long would it take each of them working alone?
:
Let t = time required by Q to complete job alone
then
4t = time required by J
:
Let the completed job (refinishing 100sq/ft) = 1
:
3%2Ft + 3%2F%284t%29 = 1
multiply each term by 4t, results
4(3) + 3 = 4t
12 + 3 = 4t
15 = 4t
t = 15%2F4
t = 3.75 hrs, Q alone
then
4(3.75) = 15 hrs, J alone
:
:
Check this:
3/3.75 + 3/15 =
.8 + .2 = 1