Why is my solution wrong?

Discussion in 'Algebra' started by user1234, Aug 18, 2019.

  1. user1234

    user1234 Guest

    I am trying to solve the following algebra question but I don’t understand why my solution is wrong.

    Kesha drove from Buffalo to Syracuse at an average rate of 48 miles per hour. On the
    return trip along the same road she was able to travel at an average rate of 60 miles per
    hour. The trip from Buffalo to Syracuse took one-half hour longer than the return trip. How
    long did the return trip take?

    Here is my solution.

    60x = 48x + 0.5
    12x = 0.5
    12/0.5 = 24

    The correct answer is 2 but how?
     
    user1234, Aug 18, 2019
    #1
    1. Advertisements

  2. user1234

    Devilman93

    Joined:
    Dec 17, 2019
    Messages:
    2
    Likes Received:
    1
    you solved for the wrong thing
     
    Devilman93, Dec 17, 2019
    #2
    1. Advertisements

  3. user1234

    MDV

    Joined:
    Jan 18, 2020
    Messages:
    4
    Likes Received:
    0
    d = distance (Buffalo to Syracuse is same distance as Syracuse to Buffalo!!)
    x = time taken

    and of course, speed * distance = time;

    48 * d = x // Buffalo to Syracuse (1)
    60 * d = x + 0.5 // Syracuse to Buffalo

    From (1) : d = x /48
    Substitute for 'd' in (2): 60 * (x / 48) = x + 0.5
    Rearrange: (60/48)x = x + 0.5
    ( (60/48) - 1 ) x = 0.5
    x = 0.5 / (60/48 - 1)
    x = 2
     
    MDV, Jan 18, 2020
    #3
    1. Advertisements

Ask a Question

Want to reply to this thread or ask your own question?

You'll need to choose a username for the site, which only take a couple of moments (here). After that, you can post your question and our members will help you out.