Thread: Uhm what

Results 1 to 4 of 4
  1. #1
    SjoerdJr...'s Avatar
    Join Date
    Oct 2010
    Gender
    male
    Location
    Manhattan. Why?
    Posts
    3,983
    Reputation
    48
    Thanks
    457
    My Mood
    Tired

    Uhm what

    Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same route and averaged 30 miles per hour. If Esther spent a total of one hour commuting to and from work, how many miles did Esther drive to work in the morning?

  2. #2
    Evelyn's Avatar
    Join Date
    Sep 2009
    Gender
    female
    Location
    Land Of The Lost Souls
    Posts
    3,078
    Reputation
    417
    Thanks
    1,255
    My Mood
    Dead



    Going to work;

    Distance = Rate1 * Time1


    Coming home from work;

    Distance = Rate2 * Time2

    _________________________

    Rate1 = 45 Miles per hour (Mi/Hr)

    Rate2 = 30 Miles per hour (Mi/Hr)

    Time1 + Time2 = One Hour

    " If Esther spent a total of one hour"


    __________________________


    Distance= 45Time1

    Distance= 30Time2

    Isolate time....

    Therefore;


    Distance/45 = Time1

    Distance/30= Time2

    Putting the equations together (Which is what the problem concerns)

    Distance = 1/45 + 1/30

    Make the denominators equivalent

    1x2 = 2 , 45x2 = 90
    1x3 = 3, 30x3 = 90

    Distance = 2/90 + 3/90


    Add

    Distance = 5/90

    Simplify, Distance = 18


    Your answer is 18.

    If you want to wait for someone else or look it up that's probably a better idea.






  3. #3
    SjoerdJr...'s Avatar
    Join Date
    Oct 2010
    Gender
    male
    Location
    Manhattan. Why?
    Posts
    3,983
    Reputation
    48
    Thanks
    457
    My Mood
    Tired
    Quote Originally Posted by Evelyn View Post



    Going to work;

    Distance = Rate1 * Time1


    Coming home from work;

    Distance = Rate2 * Time2

    _________________________

    Rate1 = 45 Miles per hour (Mi/Hr)

    Rate2 = 30 Miles per hour (Mi/Hr)

    Time1 + Time2 = One Hour

    " If Esther spent a total of one hour"


    __________________________


    Distance= 45Time1

    Distance= 30Time2

    Isolate time....

    Therefore;


    Distance/45 = Time1

    Distance/30= Time2

    Putting the equations together (Which is what the problem concerns)

    Distance = 1/45 + 1/30

    Make the denominators equivalent

    1x2 = 2 , 45x2 = 90
    1x3 = 3, 30x3 = 90

    Distance = 2/90 + 3/90


    Add

    Distance = 5/90

    Simplify, Distance = 18


    Your answer is 18.

    If you want to wait for someone else or look it up that's probably a better idea.





    Holy shit .

  4. #4
    Swiftdude's Avatar
    Join Date
    Apr 2009
    Gender
    male
    Location
    Illinois.
    Posts
    12,572
    Reputation
    1130
    Thanks
    2,980
    My Mood
    Cynical
    that right there is the brain of a fucking genius
    Still love you Giggletron