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 303078: 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 mananth(16946) (Show Source): You can put this solution on YOUR website!
let jack do the job in x hours alone
he does 1/x of the job in 1 hour
quinn does the same job in x/4 hours ( since he does the job 4 times faster)
4/x of the job he does in 1 hour
they together take 3 hours to do the job
1/3 of the job in 1 hour
1/x +4/x = 1/3
5/x= 1/3
x=15 hours jacks's time to do the job alone
Quinn does 4 times faster . he does in 1/4 time = 1/4* 15 = 15/4
=3.75 hours
Ananth

RELATED QUESTIONS
Quinn can refinish hardwood floors four times as fast as Jack. They have to refinish 100 (answered by ankor@dixie-net.com)

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)