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12 August, 16:39

Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes two hours longer than Juan, who picks up litter for 2 miles. If it took Juan x hours, how long did it take Yumi? A. 1 hour 20 minutes B. 3 hours 20 minutes C. 4 hours D. 6 hours

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  1. 12 August, 18:33
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    Juan's time = x

    Yumi's time = x + 2

    Yumi's distance = 3 miles

    Juan's distance = 2 miles

    Rate = distance/time

    Juan's rate = 2/x

    Yumi's rate = 3 / (x + 2)

    The rates are equal so:

    2/x = 3 / (x + 2)

    2x + 4 = 3x

    x = 4 hours

    Yumi's time = 4 + 2 = 6 hours

    The answer is D.
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