SOLUTION: Ms. Hill drove from here to Texas and then back on the same route. Going she averaged 70 mph and returning she averaged 60 mph. The total trip, there and back, took 35 hours. Ho

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Question 788148: Ms. Hill drove from here to Texas and then back on the same route. Going she averaged 70 mph and returning she averaged 60 mph. The total trip, there and back, took 35 hours. How far is it from here to Texas? Round your answer to the nearest mile.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!

Direction_________rate__________time_____________distance
going_____________70____________x________________70x
returning_________60____________y________________60y
Total___________________________35

Each distance is the same, so 7x=6y.
The total time was x%2By=35.
That's your system. Solve it.

NOTE: The way I setup the data, the TIME quantities are the variables. This problem could have been analyzed using the distance as the variable. Doing it like that would make us use time=distance%2Frate. We would then formulate that d%2F70%2Bd%2F60=35 which uses d as the unknown distance either direction. Maybe this would be easier? Depends on who is solving the problem and which way he sees as easiest to arrange.