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15 April, 09:03

Five runners, Andy, Beth, Dale, Ella, and Tri, are in a one-mile race.

Beth finished 6 second left parenthesis s right parenthesis before Ella. Ella finished 4 second left parenthesis s right parenthesis before Tri.

Tri finished 8 second left parenthesis s right parenthesis after Dale. Andy finished 11 second left parenthesis s right parenthesis after Dale.

In which order did the runners finish the race?

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  1. 15 April, 09:06
    0
    Beth, Dale, Ella, Tri, Andy

    Step-by-step explanation:

    Let a, b, d, e, t represent the runners' finish times (matching their first initial). Then we have ...

    b = e - 6

    e = t - 4

    t = d + 8

    a = d + 11

    If we arbitrarily let b=0, then we can find the values of the other times as ...

    e = b+6 = 6

    t = e + 4 = 10

    d = t - 8 = 2

    a = d + 11 = 13

    In order, the times are 0 (b), 2 (d), 6 (e), 10 (t), and 13 (a)

    The order of finish is ...

    Beth, Dale, Ella, Tri, Andy
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