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Math Help - Time & Distance Problem

  1. #1
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    Time & Distance Problem

    It is 165 miles from city x to city y. If a bus takes 1.5 hours to travel the first 65 miles, how long must the bus take to travel the final 100 miles in order to average 50 miles/hr during the entire trip?
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  2. #2
    MHF Contributor harish21's Avatar
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    what have you done so far? show your work..

    if the bus has an avg speed of 50 miles per hr, then it would travel 165 miles in (165/50)= 3.3 hours....

    Based on this and the information you have in your question, calculate the time taken by the bus to travel the final 100 miles.
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  3. #3
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    I've done like this:

    The entire trip is 165 miles.

    Therefore, expected time = 165/50 * 60 minutes = 198 minutes.

    The 1st 65 miles were traveled in 1.5 hrs. = 90 minutes.

    So, the remaining 100 miles has to be traveled in (198-90) minutes = 108 minutes.

    Therefore the answer is 108 minutes.

    Is this correct? I've confusion about my book's answer, it says 115.47 minutes!
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  4. #4
    MHF Contributor harish21's Avatar
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    Yes.

    You can check your answer..

    The total time taken for the bus to travel =90+108= 198 mins = 3.3 hrs..

    total distance = 165 miles..

    speed = 165/3.3 = 50 miles per hr..
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