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An LSU football defender is 6 m behind a Georgia Tech receiver who has the football
and is d meters from making a touchdown. If the LSU player is running at 5 m/s and the
receiver is running at 4 m/s, what is the furthest distance, d, that the Tech player can be
from the goal line and still make a touchdown?

  • physics -

    Eq1: 4*t = d
    Eq2: 5*t = 6 + d

    In Eq2, replace d with 4t:
    5t = 6 + 4t
    5t-4t = 6
    t = 6 s.

    In Eq1, replace t with 6:
    d = 4 * 6 = 24 m.

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