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Math Help - 2 quadratic distance problems

  1. #1
    Why
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    2 quadratic distance problems

    I need help translating these two problems into equations correctly.



    1. During the first part of a canoe trip, Tim covered 60 km at a certain speed. He then traveled 24 km at a speed that was 4 km/h slower. If the total time for the trip was 8 hours, what was the speed on each part of the trip?



    2. The current in a typical Mississippi River shipping route flows at a rate of 4 mph. In order for a barge to travel 24 miles up river and then return in a total of 5 hours, approximately how fast must the barge be able to travel in still water?
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  2. #2
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    Quote Originally Posted by Why View Post
    I need help translating these two problems into equations correctly.



    1. During the first part of a canoe trip, Tim covered 60 km at a certain speed. He then traveled 24 km at a speed that was 4 km/h slower. If the total time for the trip was 8 hours, what was the speed on each part of the trip?



    2. The current in a typical Mississippi River shipping route flows at a rate of 4 mph. In order for a barge to travel 24 miles up river and then return in a total of 5 hours, approximately how fast must the barge be able to travel in still water?
    Use distance = (speed)(time) => time = distance/speed:


    1. \displaystyle \frac{60}{v} + \frac{24}{v - 4} = 8.


    2. \displaystyle \frac{24}{v - 4} + \frac{24}{v + 4} = 5.
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  3. #3
    Why
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    Quote Originally Posted by mr fantastic View Post
    Use distance = (speed)(time) => time = distance/speed:


    1. \displaystyle \frac{60}{v} + \frac{24}{v - 4} = 8.


    2. \displaystyle \frac{24}{v - 4} + \frac{24}{v + 4} = 5.
    Oh thanks. It makes perfect sense now
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