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19 April, 02:15

Two skaters are racing towards the finish line of the race. the first Skater has a 40 meter lead and is traveling at a rate of 12 meter. the second skater is traveling at a rate of 14 meter per second. how long will it take for the second skater to pass the first skater?

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  1. 19 April, 05:26
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    20 seconds

    Step-by-step explanation:

    The distance to cover between the lead skater and trailing skater is 40 meters

    The lead skater's rate is 12 m/s

    The trailing one's rate is 14 m/s

    So, we can say:

    second skater is accelerating, or covering up the distance, in 14 - 12 = 2 m/s

    So, at a rate of 2 meters per second, how long would it take to cover 40 meters?

    We use the distance formula, substitute the known and solve for unknown.

    Distance Formula = D = RT

    Where

    D is distance

    R is speed/rate

    T is time

    We know

    r = 2 m/s

    d = 40 m

    t = ?

    Now,

    D = RT

    40 = 2t

    t = 40/2

    t = 20 (seconds)

    Hence,

    it will take 20 seconds for the second skater to catch up (pass)
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