SOLUTION: Two towns, Here and There are 120 km apart. Cara Van wants to drive from Here to There in exactly one hour and twenty minutes. For the first 30 minutes, Cara drives at a constant r

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Question 958394: Two towns, Here and There are 120 km apart. Cara Van wants to drive from Here to There in exactly one hour and twenty minutes. For the first 30 minutes, Cara drives at a constant rate of 70 km/h.
At what constant rate, in km/h must she drive for the remaining time if she is to accomplish her goal of getting from Here to There in exactly one hour and twenty minutes?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
_____________________speed___________time_________distance
Part1_________________70_____________1/2__________(____)
Part2_________________r______________1____________(____)
Total________________________________1%261%2F2________120

The part2 time of 1 hour comes from the necessary total time being 1%261%2F2 hours.

Next, fill the missing cells and formulate the distance equation.

_____________________speed___________time_________distance
Part1_________________70_____________1/2__________70%281%2F2%29
Part2_________________r______________1____________r%2A1
Total________________________________1%261%2F2__________120


70%281%2F2%29%2Br%2A1=120
35%2Br=120
r=120-35
highlight%28r=85%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Two towns, Here and There are 120 km apart. Cara Van wants to drive from Here to There in exactly one hour and twenty minutes. For the first 30 minutes, Cara drives at a constant rate of 70 km/h.
At what constant rate, in km/h must she drive for the remaining time if she is to accomplish her goal of getting from Here to There in exactly one hour and twenty minutes?
Rate to travel in order to accomplish a time of 1%261%2F3 hours: highlight_green%28102%29 km/h