SOLUTION: Alice and Bob start from the same position on a track and both start jogging clockwise along it. Alice runs at 4 miles per hour, and Bob runs at 3 miles per hour. How much extra di

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Alice and Bob start from the same position on a track and both start jogging clockwise along it. Alice runs at 4 miles per hour, and Bob runs at 3 miles per hour. How much extra di      Log On


   



Question 1195844: Alice and Bob start from the same position on a track and both start jogging clockwise along it. Alice runs at 4 miles per hour, and Bob runs at 3 miles per hour. How much extra distance will Alice have covered when she passes Bob?
What I have tried so far:
I've currently wrote down some notes about the problem
-They start from the same position on a track
-Alice runs 4 miles/hour
-Bob runs 3 miles/hour
-Question: Extra distance Alice covered when she passes Bob?
I'm not really sure what step I should do next, could I have some help please? Thank you!

Answer by ikleyn(52793) About Me  (Show Source):
You can put this solution on YOUR website!
.
Alice and Bob start from the same position on a track and both start jogging clockwise along it.
Alice runs at 4 miles per hour, and Bob runs at 3 miles per hour.
How much extra distance will Alice have covered when she passes Bob?
What I have tried so far:
I've currently wrote down some notes about the problem
-They start from the same position on a track
-Alice runs 4 miles/hour
-Bob runs 3 miles/hour
-Question: Extra distance Alice covered when she passes Bob?
I'm not really sure what step I should do next, could I have some help please? Thank you!
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The problem's formulation (three first lines in my copy) is incorrect and incomplete.


The complete and correct formulation 

    - must say that the track is a closed line or a closed path, like circle, or ellipse,
      or oval.

             The problem tries to tell it by saying "clockwise", but in professional formulation,
             it must say it directly, openly and explicitly.


    - must give the LENGTH of the track.


Then we can answer the problems' question: Moving faster than Bob, Alice should cover 
the extra distance equal to the track's length, to catch up Bob for the first time.


Given rates in the problem (4 miles per hour for Alice and 3 miles per hour for Bob)
are irrelevant to the problem's question.


Let me repeat my point again: as worded and printed in the post, the problem
is posed incorrectly and can not be solved.


To be solved, irrelevant data should be ignored and necessary data should be added.


For example, if the track length is 6 miles, then the extra distance, which Alice
should cover to catch up Bob for the first time, is 6 miles.

Solved, answered, partly disproved (where the post is wrong), fixed and explained
from the very beginning to the end.

--------------

At this site,  I placed several lessons  (more than one)  for persons/objects moving
along circular/closed tracks/paths.

You can read these lessons and relevant problems with solutions from these links
    - Two runners run on a quarter-mile oval track
    - In a 2-mile race competition
    - Two runners on a circular track

Consider them as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.