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| Math Central | Quandaries & Queries |
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Question from Christian, a student: Question: Two cars are racing to a fixed point and back. One car travels 70 MPH both ways |
Hi Christian,
The important fact here is that
\[\mbox{ rate} = \frac{\mbox{distance}}{\mbox{time}}\]
Suppose that the distance from the start to the fixed point is $d$ miles, the time it takes to travel this distance at 70 mph is $t$ hours, the time it takes to travel this distance at 60 mph is $t_{1}$ hours and the time it takes to travel this distance at 80 mph is $t_{2}$ hours.
Use the fact that rate is distance over time to find $t, t_1$ and $t_2$ as functions of $d$ and ask is $2t = t_1 + t_{2}?$
Penny
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