Jason is 9 miles ahead of Joe running at 5.5 miles per hour and Joe is running at the speed of 7 mil

Discussion in 'Calculator Requests' started by math_celebrity, Jan 9, 2024.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Jason is 9 miles ahead of Joe running at 5.5 miles per hour and Joe is running at the speed of 7 miles per hour. How long does it take Joe to catch Jason?
    A. 3 hours
    B. 4 hours
    C. 6 hours
    D. 8 hours

    Distance formula is d = rt

    Jason's formula (Add 9 since he's ahead 9 miles):
    d = 5.5t + 9

    Joe's formula:
    d = 7t

    Set both distance formulas equal to each other:
    5.5t + 9 = 7t

    Subtract 5.5t from each side:
    5.5t - 5.5t + 9 = 7t - 5.5t
    1.5t = 9

    Divide each side by 1.5:
    1.5t/1.5 = 9/1.5
    t = 6 hours

    Check our work with t = 6
    Joe = 7(6) = 42
    Jason = 5.5(6) + 9= 33 + 9 = 42


     
    Last edited: Jan 10, 2024

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