Jose walks at a rate of 4 miles per hour and runs at a rate of 8 miles per hour. Each week, his exercise program requires him to cover a tot

Question

Jose walks at a rate of 4 miles per hour and runs at a rate of 8 miles per hour. Each week, his exercise program requires him to cover a total distance of 20 miles with some combination of walking and/or running. Write an equation that represents the different amounts of time Jose can walk, x, and run, y, each week

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Philomena 4 years 2021-07-28T01:29:44+00:00 1 Answers 20 views 0

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  1. Farah
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    2021-07-28T01:30:52+00:00
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    Answer:

    Here we can use the relationship:

    Distance = time*speed.

    When Jose walks, his speed is 4 mph.

    Then if he walks for X hours, the distance that he will travel is:

    D = 4mph*X

    When Jose runs, his speed is 8mph.

    Then if he runs for T hours, the distance that he will travel is:

    D´ = 8mph*Y

    And we know that he travels in total 20 miles, then we must have that:

    D + D´= 20mi

    This leads to:

    4mph*X + 8mph*Y = 20mi

    Where X is the time that he walked, and Y is the time that he runed.

    Then the equation that represents the different amounts of times that Jose runs and walks  is:

    4mph*X + 8mph*Y = 20mi

    Where we can not really find the solutions for Y and X, because there is only one equation and two variables.

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