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26 August, 02:09

Manuel traveled 7 hours nonstop to Mexico, a total of 302 miles. He took a train part of the way, which averaged 60 mph, and then took a bus the remaining distance, which averaged 40 mph. How long was Manuel on the train?

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  1. 26 August, 02:23
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    x = 1,1 h time traveling by train and he traveled 66 miles

    Manuel was 5.9 hours traveling by bus and 236 miles

    Step-by-step explanation:

    Let call " x " time in hours traveling by train, and " y " time travellng by bus, then

    y = 7 - x is time traveling by bus

    According to the average speed of both (train and bus) we can formulate the following equation

    60*x + 40 * (7 - x) = 302

    solving for x

    60*x + 280 - 40*x = 302

    20*x = 302 - 280 ⇒ 20*x = 22 ⇒ x = 22/20

    x = 1,1 h time traveling by train and he traveled 66 miles

    Then y = 7 - x ⇒ y = 7 - 1.1 ⇒ y = 5.9 h

    Manuel was 5.9 hours traveling by bus and 236 miles
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