Mathematics

Two cars drive from town A to town B at constant speeds. The blue car travels 25 miles per hour and the red car travels 60 miles per hour. The blue car leaves at 9:30 am and the red car leaves at noon. The distance between the two towns is 150 miles. Who will get there first? Write the system of linear equations that represents this situation.

A detailed explanation would be helpful. Thank you!

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  1. time = distance/rate

    blue car's time = 150/25 = 6 hrs
    red car's time = 150/60 = 2.5 hrs

    so, since the blue car left at 9:30 am, it will arrive 6 hours later , at 3:30 pm
    the red car left at noon, so will arrive 2.5 hours later, at 2:30 pm

    Why would you need to introduce variables, and form a system of equations ????
    The question is an example of overkill and making a problem more difficult than it has to be.

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