|
Question 257967: A bicyclist and a hiker leave the same place at the same time and travel in the same direction. The bicyclist travels three times as fast as the hiker. At the end of 3 hr they are 24 miles apart. How fast does the hiker travel?
Found 3 solutions by CharlesG2, Edwin McCravy, richwmiller:
Answer by CharlesG2(834)   (Show Source):
You can put this solution on YOUR website! A bicyclist and a hiker leave the same place at the same time and travel in the same direction. The bicyclist travels three times as fast as the hiker. At the end of 3 hr they are 24 miles apart. How fast does the hiker travel?
D distance = R rate * T time
24 miles = 3x * 3 hours
24=9x
24/9=8/3 miles per hour for hiker
and 8 miles per hour for bicyclist
I see my mistake, am sorry for making it thank you Edwin. Dang I am not supposed to be making mistakes.
All make sure you look at this answer for the right way to do this, sorry again for my mistake: Answer 189834 by Edwin McCravy(3231) on 2010-01-18 10:57:55
Answer by Edwin McCravy(20059)  (Show Source):
You can put this solution on YOUR website!
The other tutor's solution is wrong for if the hiker had gone
 mph, then in 3 hours he would have gone 8 miles and
the biker would have gone 24 miles and they would be 16 miles
apart, not 24 miles apart.
Here's the correct solution:
Let r = the rate of the hiker
Then 3r = the rate of the biker
Then after 3 hours, using d=rt, the hiker went r*(3) or 3r miles
And after the same 3 hours, the biker went (3r)*(3) or 9r miles.
Then 9r is 24 more than 3r
9r = 3r + 24
6r = 24
r = 4 mi/hr
To analyze the problem further as a check, the biker went
3 times as fast or 12 mi/hr and after 3 hours the biker
had gone 36 miles and the hiker had gone 4*3 or 12 miles, and
they were therefore 36-12 or 24 miles apart after 3 hours.
Edwin
Answer by richwmiller(17219)  (Show Source):
You can put this solution on YOUR website! rt=d
3h=x
3*(3h)=x+24
h=4 mph for the hiker
b=12 mph for the biker
check
3*4=12 hiker traveled 12 miles
3*12=36 biker traveled 36 miles
36-12=24 difference 24 miles
ok
NB in one hour the biker travels the same distance the hiker travels in 3 hours.
|
|
|
| |
