SOLUTION: Hannah Rae walked 'k' miles to town in only 'h' hours, but still arrived one hour early. What should her speed have been to have arrived on time if the town were 3 miles further aw

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Question 1102248: Hannah Rae walked 'k' miles to town in only 'h' hours, but still arrived one hour early. What should her speed have been to have arrived on time if the town were 3 miles further away?
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52939)   (Show Source): You can put this solution on YOUR website!
.
Let "u" be the speed under the question (the speed to get the town on time).


Then the condition says 


 -  = 1,    (it is your time equation,
                 which is a literal translation of the condition).


From the equation, after multiplying both sides by (u*k), you have


3k - 3u = uk,

3k = uk + 3u  ====>  u*(k+3) = 3k  ====>  u =  miles per hour.


Answer.  The speed under the question (the speed to get the town on time) is   miles per hour.

Solved.

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You may find many similar solved problems of this kind in the lessons
    - Had a car move faster it would arrive sooner
    - How far do you live from school?
in this site.


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The way I read it, " on time if the town was 3 mi
further away " means the same " on time " for the miles away
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1 hr early means she was going too fast
In 1 hr, she would have traveled mi
so, her rate needs to be:

Her time for a distance of mi would be


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Definitely get another opinion on this.
I'm not absolutely sure.
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