SOLUTION: Carlos bikes 3 mi/h faster than Tim. It takes Tim 1 hour longer than Carlos to bike 36 miles. How long does it take Carlos to bike 36 miles?

Question 849651: Carlos bikes 3 mi/h faster than Tim. It takes Tim 1 hour longer than Carlos to bike 36 miles. How long does it take Carlos to bike 36 miles?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Carlos bikes 3 mi/h faster than Tim. It takes Tim 1 hour longer than Carlos to bike 36 miles. How long does it take Carlos to bike 36 miles?
***
let x=Tim's speed
x+3=carlos' speed
travel time=distance/speed
..
Tim's travel time-Carlos' travel time=1

36(x+3)-36x=x(x+3)
36x+108-36x=x^2+3x
x^2+3x-108=0
(x+12)(x-9)=0
x=-12(reject)
or
x=9
36/(x+3)=36/12=3
How long does it take Carlos to bike 36 miles? 3 hrs
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