SOLUTION: A women driving a BMW at a constant speed jumps on the freeway at noon. A half hour later a man driving a tesla follows the same path at a steady speed, 10 mph faster than her. He

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Question 842331: A women driving a BMW at a constant speed jumps on the freeway at noon. A half hour later a man driving a tesla follows the same path at a steady speed, 10 mph faster than her. He catches up to her at 4:30 p.m. What are the speed of the cars?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
"... jumps on the freeway at noon."


__________________speed________time________distance
BMW________________r___________t+1/2
Tesla_____________r+10__________t

You know from time point information, t%2B1%2F2=4%261%2F2;
t=4. The data table can be this:

__________________speed________time________distance
BMW________________r___________4.5__________r(4.5)
Tesla_____________r+10__________4__________(r+10)*4

The question means, what is r if the two distances are equal?
highlight_green%28%284.5%29r=4%28r%2B10%29%29
4.5r=4r%2B40
%280.5%29r=40
BMW Speed: highlight%28r=80%29
Tesla Speed: highlight%2890%29