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Math Help - I need a starting point for this problem!

  1. #1
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    I need a starting point for this problem!

    The problem reads:

    Wendy took a 300 mile trip. She did part of it by bus at a speed of 40 mph and the rest she did by train at a speed of 60mph. If the entire trip took her 5.5 hours, how much time did she spend traveling by train?

    Now, I know that time = distance/speed.

    I also know that if "x" represents the miles traveled by bus and "y" by train, I could write it: x + y = 300

    I do NOT know how to divide up the time to place in a formula.

    I got that she took 1.5 hours (60 miles) by bus and 4 hours (240 miles) by train, but without any mathematical methods - I just did some trial-and-error.

    Any mathematical method to exact and confirm my answer?

    Thank you!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Polyxendi View Post
    The problem reads:

    Wendy took a 300 mile trip. She did part of it by bus at a speed of 40 mph and the rest she did by train at a speed of 60mph. If the entire trip took her 5.5 hours, how much time did she spend traveling by train?

    Now, I know that time = distance/speed.

    I also know that if "x" represents the miles traveled by bus and "y" by train, I could write it: x + y = 300

    I do NOT know how to divide up the time to place in a formula.

    I got that she took 1.5 hours (60 miles) by bus and 4 hours (240 miles) by train, but without any mathematical methods - I just did some trial-and-error.

    Any mathematical method to exact and confirm my answer?

    Thank you!
    You already have:

    x+y=300

    Now we do the same for time:

    \frac{x}{40}+\frac{y}{60}=5.5

    Now solve for x and y and the answer is y/60 hours
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