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28 December, 19:31

Leo needs to drive from Boston to Chicago. He planned to drive for 20 hours at an average speed of 50 mph. But drove 60 mph for the first 5 hours. During the remaining part of the trip, his average speed was 50 mph, how much earlier did he arrive in Chicago than he originally planned?

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  1. 28 December, 19:52
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    He arrived 1 hour earlier.

    The formula for distance in this case is

    d=rt, where d is distance, r is rate (speed) and t is time.

    The first leg of his trip, he traveled at 60 mph for 5 hours:

    d = 60 (5) = 300

    He traveled 300 miles during the first part of his trip.

    He had originally planned to travel 50 mph for 20 hours:

    d = rt = 50 (20) = 1000

    His entire trip is 1000 miles.

    The second part of the trip is then represented by

    1000-300 = 50t

    700 = 50t

    Divide both sides by 50:

    700/50 = 50t/50

    14 = t

    He traveled 5 hours for the first part and 14 hours the second part, for a total of 19 hours.

    This is 20-19 = 1 hour earlier than he'd planned.
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