algebra. help!

Start from 110 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is travelling at a constant rate of 30 feet per second. The distance between the bicycle and the checkpoint is given by the equation d=|110-30t| at what times is the bike 40 feet away from the checkpoint?

a. 2.3 sec and 5 sec
b. 1.6 sec and 5 sec
c. 2.3 sec and 4.6 sec
d. 1.6 sec and 4.6 sec

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  1. I choose c

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  2. |110-30t| = 40
    so, either

    110-30t = 40
    30t = 70
    t = 7/3 = 2.3

    or

    -(110-30t) = 40
    -110+30t = 40
    30t = 150
    t = 5

    So, (A) is correct

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  3. Thank you so much!

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  4. Steve definitely got it right!

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