SOLUTION: 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 hours they a
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Question 126259: 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 hours they are 24 miles apart. How fast does the hiker travel?
Answer by ankor@dixie-net.com(22740) (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 hours they are 24 miles apart. How fast does the hiker travel?
:
Let s = speed of the hiker
then
3s = speed of the bicyclist
:
Remember; Distance = time * speed:
:
Both travel for 3 hrs, write a simple distance equation.
:
Bike dist - Hiker dist = 24 miles
3(3s) - 3s = 24
:
9s - 3s = 24
:
6s = 24
s =
s = 4 mph is the hiker's speed
:
:
Then bike's speed is 3(4) = 12 mph; check solution using distances
3(12)= 36
3(4) = 12
------------
diff = 24 mi
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