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22 July, 05:34

What is the formula for an eastbound car is going 4 miles per hour faster than a westbound car. the cars are 208 miles apart 2 hours after passing each other on a highway. what is the speed, in miles per hour, of the eastbound car?

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  1. 22 July, 05:53
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    Draw a diagram to illustrate the problem as shown below.

    Let v = speed of the westbound car, mph

    Because the eastbound car travels 4 mph faster than the westbound car, its speed is (v+4) mph.

    After 2 hours,

    the westbound car travels 2v miles west, and the eastbound car travels 2 (v+4) miles east.

    Because they become separated by 208 miles, therefore

    2v + 2 (v+4) = 208

    4v + 8 = 208

    4v = 200

    v = 50 mph

    The westbound car travels at 50 mph.

    The eastbound car travels at v+4 = 54 mph

    Answer: The eastbound car travels at 54 mph.
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