Results 1 to 2 of 2

Math Help - Simplifying Rational Expressions / Distance (Word) Problems

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    2

    Simplifying Rational Expressions / Distance (Word) Problems

    Hi, I need help on trying to solve these two equations:

    "Express in simplest equivalent form."




    and





    Now for the word problems... I'm having trouble with these distance problems since I don't know where to place which numbers... so it'd be great if someone could show me each step and explain why the numbers are there... I'd appreciate it. =)

    "A plane takes the same amount of time to fly 1500 km at 100 km/h below its top speed as it takes to fly 1250 km at 200 km/h below its top speed. What is the plane's top speed, in kilometers per hour?"


    "David flew 300 km on a commuter plane, then 2000 km on a passenger jet. The passenger jet flew twice as fast as the commuter plane. The total flying time for the journey was 3 1/4 hours. What was the speed of each plane in kilometers per hour?"


    "Nadia and Kyle shared the driving on a 1250 km trip from Edmonton to Vancouver. Nadia drove for 6 hours and Kyle drove for 8 hours. Nadia drove 10 km/h faster than Kyle. How fast did Kyle drive?"


    Thanks, any help is appreciated!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,888
    Thanks
    683
    for the two rational expressions ... try factoring the numerators and denominators, then see what common factors will divide out.


    1. time = (distance)/(speed)

    let s = the plane's top speed

    \frac{1500}{s - 100} = \frac{1250}{s - 200}

    solve for s.

    2. (speed)(time) = distance

    let s = speed of the commuter plane
    2s = speed of the jet
    t = time for the commuter plane
    3.25 - t = time for the jet

    st = 300

    2s(3.25 - t) = 2000
    6.5s - 2st = 2000

    you should be able to substitute 300 for st in the second equation ... solve for s.

    3. let s = kyle's speed

    (time)(speed) = distance

    8s + 6(s+10) = 1250

    solve for s
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. simplifying rational expressions!! ?
    Posted in the Algebra Forum
    Replies: 6
    Last Post: November 27th 2012, 05:19 AM
  2. Simplifying rational expressions 2
    Posted in the Algebra Forum
    Replies: 3
    Last Post: October 10th 2010, 01:44 PM
  3. [SOLVED] Simplifying rational expressions 1
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 10th 2010, 06:36 AM
  4. Simplifying rational expressions
    Posted in the Algebra Forum
    Replies: 2
    Last Post: September 9th 2010, 08:26 AM
  5. Replies: 3
    Last Post: November 18th 2008, 11:50 AM

Search Tags


/mathhelpforum @mathhelpforum