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1 February, 01:58

Starting at home, Jessica traveled uphill to the grocery store for 181818 minutes at just 202020 mph. She then traveled back home along the same path downhill at a speed of 606060 mph. What is her average speed for the entire trip from home to the grocery store and back?

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  1. 1 February, 02:31
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    So her average speed for the entire trip is 30 mph (miles per hour).

    Step-by-step explanation:

    Use distance = rate x time

    18 minutes is 3/10 of an hour.

    So the distance to the store is:

    d = 20 * (3/10) = 6 miles

    The distance downhill is the same, 6 miles. So:

    6 = (60) t

    6/60 = t

    1/10 = t

    Where t is the time it took to go back home. So t is. 1 hour (6 minutes).

    To calculate average speed we use the formula:

    average speed = total distance / total time

    average speed = (6+6) / (.3 +.1) = 12 / (.4) = 30

    So her average speed for the entire trip is 30 mph (miles per hour).
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