Results 1 to 2 of 2

Math Help - Two Trains

  1. #1
    Member
    Joined
    Sep 2007
    Posts
    75

    Two Trains

    Two trains set-off from separate stations at different times and travel in a straight line to the station that the other train started from. One travels at fifty miles-per-hour and sets-off at a certain time. The other travels at sixty miles-per-hour and sets-off one hour later. Both trains arrive at their destinations at the same time. How far apart are the stations?

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    May 2006
    Posts
    244
    Quote Originally Posted by Obsidantion View Post
    Two trains set-off from separate stations at different times and travel in a straight line to the station that the other train started from. One travels at fifty miles-per-hour and sets-off at a certain time. The other travels at sixty miles-per-hour and sets-off one hour later. Both trains arrive at their destinations at the same time. How far apart are the stations?


    Let the seperation in miles be d, then train 1 takes t_1=d/50 hours, and train 2 takes t_2=d/60 hours. But you are also told that:

    t_1=t_2+1,

    so

    \frac{d}{50}=\frac{d}{60}+1

    .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. At what time are the trains 400 miles apart?
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: December 8th 2011, 02:11 PM
  2. The two trains and bird distance problem
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: September 19th 2011, 02:51 AM
  3. Trains
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 15th 2010, 07:37 AM
  4. [SOLVED] Probability: trains containing hazardous materials
    Posted in the Advanced Statistics Forum
    Replies: 8
    Last Post: October 15th 2010, 11:54 AM
  5. boats and trains related rates
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 1st 2010, 02:46 AM

Search Tags


/mathhelpforum @mathhelpforum