SOLUTION: james drives 5 miles per hour slower than ken. If James travels 100 miles in the same time that ken travels 110 miles, find each rate. solution?

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Question 330593: james drives 5 miles per hour slower than ken. If James travels 100 miles in the same time that ken travels 110 miles, find each rate. solution?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
100=(R-5)T
OR T=100/(R-5) FOR JAMES
110=RT
OR T=110/R FOR KEN
SET THESE 2 EQUATIONS EQUAL & SOLVE FOR R.
100/(R-5)=110/R CROSS MULTIPLY,
110(R-5)=100R
110R-550=100R
100R-100R=550
10R=550
R=550/10
R=55 MPH FOR KEN.
55-5=50 MPH IS THE RATE FOR JAMES.
110=55*T
T=110/55
T=2 HOURS.
PROOF:
100=50*2
100=100