- #1
Amano
- 2
- 0
Homework Statement
The member of a girls club hiked to lake tenkiller at 2 mph. Then they got a ride back home at 12 mph. Find their hiking time if it was 5 hours longer than their riding time. How far was it to the lake?
Now I know this is a simple question. Very easy. But the reason I write this one out is not for help. But I want better knowledge on better was to do this question.
2.Relevant equations
Can't add anything here I don't think.
The Attempt at a Solution
I just want to know how many ways I can do this question. I know there is one with graphs that you can do to answer this question. Are there others?
The way I have been taught to do this question by my textbook is this way.
Dh Dh=Dr RhTh= RrTr
-------->
Dr
<------- Rh=2 Rr=12 Th=Tr+5
2[Tr+5]= 12Tr
2Tr+10 = 12Tr
10 = 10Tr
Tr = 1
Th= Tr+5
Th= 6hr
Thus the distance will = 12 miles when 6 is multiplied by the 2.
Now that is the way I have been doing it. My only trouble is that I dont' see there is any reason to do so much algebra. so when I skimp of some of the writing like this.
2T+10 = 12T And I find this work quite well. But I find that you can get easily confused at times depending on what is going on, with the question and it's wording.
So what would some of you guys do?
Cheers,
Amano
p.s sorry if I post this in the wrong place.