1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Major problem- finding the distance between two cities

  1. Feb 15, 2007 #1
    1. The problem statement, all variables and given/known data
    Cyclist rode from one city to another city. First day he rode 1/6th from all the distance and plus 50 km. On second day he rode 1/5th from all the road plus 15 km. And on the third day he rode 1/20 from all distance plus 70km. And the question is how long was the distance between two cities.


    2. Relevant equations
    I have no idea where to begin :frown: . I think the distance should be x. But what comes next? Sorry for my bad English, as it is not my native language.



    3. The attempt at a solution

    I thought it should look like 1/6*x +50 + 1/5*x +15 +1/20 +70 = ???
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 15, 2007 #2

    cristo

    User Avatar
    Staff Emeritus
    Science Advisor

    Well, the left hand side of this equation is the total distance he covers. Supposing that he reaches the city, then what will this be equal to? (i.e. what is x?)
     
  4. Feb 15, 2007 #3
    Well the x is the distance he covers. Maybe it should be equal to 3 (as he rode it three days). Frankly I have no clue.
    But I am curious was the equation I wrote even the right one?
     
    Last edited: Feb 15, 2007
  5. Feb 15, 2007 #4

    cristo

    User Avatar
    Staff Emeritus
    Science Advisor

    Correct, x denotes the total distance he covers.

    On the left hand side of that equation you have the sum of the distances he covers on the three days, i.e. the total distance he covers.

    Now is it clearer?

    Yes
     
  6. Feb 15, 2007 #5
    1/6*x +50 + 1/5*x +15 +1/20 *x +70 =x
    Should it be like that?
    And then:
    -7/12 *x= -135
    And then result should be like x= 231 3/7 ?
    It sounds strange in my opinion.
     
    Last edited: Feb 15, 2007
  7. Feb 15, 2007 #6

    cristo

    User Avatar
    Staff Emeritus
    Science Advisor

    That's correct. Why do you think it sounds strange?
     
  8. Feb 15, 2007 #7
    I do not know, maybe the fraction as a result sounds not so nice.
    But if you say it is right, then well. I will have to give my homework in for tomorrow, so I`ll see and will post a comment if I get it back.
    So you think it`s the right solution?
     
  9. Feb 15, 2007 #8

    cristo

    User Avatar
    Staff Emeritus
    Science Advisor

    Yes, it is the correct solution.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Major problem- finding the distance between two cities
Loading...