Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles when Luke starts running at 6 miles per hour on the treadmill ne

Question

Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles
when Luke starts running at 6 miles per hour on the treadmill next to him. If their
rates continue, will Luke’s distance ever equal Micah’s distance? Explain.

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Answers ( No )

    0
    2021-11-23T21:38:36+00:00

    Let time taken by Luke to cover the distance = x hours
    Speed of Luke = 6 miles per hour
    Therefore, Distance covered by Luke = 6x ——(1)

    Speed of Micah = 4 miles per hour
    Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started.
    Therefore time taken by Micah to cover the distance = x+1/2
    Distance covered by Micah = 4(x + 1/2) ——-(2)
    Equating (1) and (2)
    6x = 4(x+1/2)
    6x = 4x +2
    2x = 2
    x= 1
    Therefore Luke would take 1 hour to cover the distance covered by Micah.

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