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27 September, 14:28

Manuel traveled 31 hours nonstop to Mexico, a total of 2,300 miles. He took a train part of the way, which averaged 80 mph, and then took a bus the remaining distance, which averaged 60 mph. How long was Manuel on the train?

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  1. 27 September, 14:43
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    Answer: he was on the train for 22 hours.

    Step-by-step explanation:

    Let t represent the time that Manuel spent on the train to Mexico.

    Manuel traveled 31 hours nonstop to Mexico. This means that the time he spent on the bus is (31 - t) hours

    Distance = speed * time

    He took a train part of the way, which averaged 80 mph. This means that the distance he traveled on the train is 80t

    Then, he took a bus the remaining distance, which averaged 60 mph. This means that the distance he traveled on the train is 60 (31 - t)

    Since the total distance covered is 2300 miles, it means that

    80t + 60 (31 - t) = 2300

    80t + 1860 - 60t = 2300

    80t - 60t = 2300 - 1860

    20t = 440

    t = 440/20

    t = 22
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