Algebra

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A car started out from Memphis toward Little Rock at the rate of 60km/h. A second car left from the same point 2 hours later and drove along the same route at 75km/h. How long did take the second car to overtake the first car.

  • Algebra -

    The distance traveled by car A and car B is the same

    distance = speed * time

    car B traveled 2 hours less than car A. At time t

    60t = 75(t-2)
    60t = 75t - 150
    15t = 150
    t = 10

    so, in 10 hours, car A traveled 600 km
    in 8 hours, car B also traveled 600 km

    The answer is, it took car B 8 hours to overtake car A.

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