Question 1205185
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Ted and Justina took part in a race. Ted won the race 25 minutes after it started. 
Justina had only run 5/8 of the distance. Justinas average speed was 75 m per minute slower than Ted. 
What was Ted's average speed in the race
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<pre>
When Ted completed the race, Justina had only run 5/8 of the distance.


It means that Justina' speed was 5/8 of the Ted' speed.


Let x be the Ted' speed (the unknown value under the problem's question).

Then the Justina' speed was  {{{(5/8)x}}}.


The difference is given

    x - {{{(5/8)x}}} = 75  meters per minute.


Hence,

    {{{(3/8)x}}} = 75  --->  x = {{{75*(8/3)}}} = 25*8 = 200.


<U>ANSWER</U>.  Ted' speed  was 200 meters per minute in this race.
</pre>

Solved.


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Notice that &nbsp;Ted's &nbsp;time to complete the race &nbsp;(25 &nbsp;minutes, &nbsp;given) 

is &nbsp;NON-NECESSARY &nbsp;and &nbsp;EXCESSIVE &nbsp;data in this problem.


I did not use it in my solution.



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So, this problem has excessive data.


Is it good or bad ? - - - Or neutral ?


It depends on the problem' style and on the goal of a composer.


Sometimes, it is good in joke Math problems - but this one is not of that style.


Sometimes, it is good to keep a reader in good tonus to recognize an excessive info 
and to check, if it is consistent with the rest of given information.
But again, in this posted problem I do not see explicit signs of such intentions from a composer' side.


Then only last reason remains - the excessive info is a result of the composer's fault.
It definitely confuses a reader and perplexes him/her - especially a beginner student.


Without a necessity, it is strongly recommended in Math do not create such problems,
since they only diminish authority of real Math composers and a Math as a whole subject 
- and destroy fragile logical system in the heads of students.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Destroy - instead of Building it and Teaching properly.