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

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) (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
:
+ = 1
multiply each term by 4t, results
4(3) + 3 = 4t
12 + 3 = 4t
15 = 4t
t =
t = 3.75 hrs, Q alone
then
4(3.75) = 15 hrs, J alone
:
:
Check this:
3/3.75 + 3/15 =
.8 + .2 = 1
RELATED QUESTIONS
Quinn can refinish hardwood floors four times as fast as Jack. They have to refinish 100 (answered by mananth)

Trey can finish the floor of an apartment in 8 hr. Matt can refinish the floor in 6 hr.... (answered by ikleyn)

Matt can refinish the floor of an apartment in 8h. Mike can refinish the floor in 6h.... (answered by nyc_function)

Working with your cousin, you can refinish a table in 8 hours. Working alone, your... (answered by Earlsdon)

You wish to add hardwood flooring to an 11-ft x 15-ft room with a 2-ft x 7-ft closet. How (answered by ewatrrr)

Working with your cousin, you can refinish a table in 6 hours. Working alone, your... (answered by richwmiller)

A furniture shop refinishes tables. Employees use one of two methods to refinish each... (answered by jorel555)

A furniture shop refinishes tables. Employees use one of two methods to refinish each... (answered by jorel1380)

A furniture shop refinishes cabinets. Employees use one of two methods to refinish each... (answered by mananth)