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Math Help - Total Time and on Trips

  1. #1
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    Total Time and on Trips

    Pat traveled 50 miles at a constant speed. He increased his speed by 20 mph and traveled 30 more miles. If his total travel time was 1 hour and 45 minutes, how fast was he traveling on each leg of his trip?

    Could anyone help me with this? I have a quiz on this stuff tomorrow and I just don't get it.

    Thanks in advance,
    A confused Math B Regents student in NY.
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  2. #2
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    Just use d=rt. If you solve for t, you get d/r=t

    You're given t and d, solve for r. 1 hour and 45 minutes is 7/4 hours.

    \frac{50}{r}+\frac{30}{r+20}=\frac{7}{4}
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  3. #3
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    Quote Originally Posted by galactus View Post
    Just use d=rt. If you solve for t, you get d/r=t

    You're given t and d, solve for r. 1 hour and 45 minutes is 7/4 hours.

    \frac{50}{r}+\frac{30}{r+20}=\frac{7}{4}

    What exactly is the next step after this? If you could just do the whole problem step by step this we be extremely helpful

    Thank you so much for your help so far.
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