You skate at a rate of 12 feet per second. Your friend skates at a rate of 10 feet per seconds and has a head start of 20 feet. A. How long

Question

You skate at a rate of 12 feet per second. Your friend skates at a rate of 10 feet per seconds and has a head start of 20 feet. A. How long will it take you to catch Your friend

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Remi 4 days 2021-09-14T00:41:28+00:00 1 Answer 0

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    2021-09-14T00:43:23+00:00

    Answer:

    Correct answer:  t = 10 seconds

    Step-by-step explanation:

    Given:

    V₁ = 12 ft/s , V₂ = 10 ft/s  initial distance d = 20 ft

    To the moment  he catches his friend the first skater will have crossed the distance d₁ and the second d₂.

    d₁ = d + d₂

    d₁ = V₁ · t

    d₂ = V₂ · t

    when we substitute this into the initial formula we get:

    V₁ · t = d + V₂ · t ⇒ d = V₁ · t – V₂ · t  ⇒ d = t (V₁ – V₂) ⇒ t = d / (V₁ – V₂)

    t = d / (V₁ – V₂) = 20 / (12 – 10) = 20 / 2 = 10 seconds

    t = 10 seconds

    God is with you!!!

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