SOLUTION: Tom and John drive 258 miles in 5 hours. Tom drives for the first part, and John drives for the second part. How long did Jon drive for?

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Question 105482: Tom and John drive 258 miles in 5 hours. Tom drives for the first part, and John drives for the second part. How long did Jon drive for?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
T=53mph & J=51mph.
T*H+J(5-H)=258
53H+51(5-H)=258
53H+255-51H=258
2H=258-255
2H=3
H=3/2
H=1.5 HOURS IS TOM'S DRIVING TIME.
5=1.5=3.5 IS JOHN'S DRIVING TIME.
PROOF
53*1.5+51*3.5=258
79.5+178.5=258
258=258