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 3hr they are 2

Algebra ->  Equations -> 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 3hr they are 2      Log On


   



Question 62529: 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 3hr they are 24 miles apart. How fast does the hiker travel.
Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
Let the speed of the hiker be x mph
So speed of the bicyclist = 3x mph
Distance travelled by the hiker in 3 hrs = 3x miles.
Distance travelled by the bicyclist in 3 hrs = 3*3x
= 9x miles.
Distance they are apart = 24 miles.
==> 9x - 3x = 24
==> 6x = 24
==> 6x/6 = 24/6
==> x = 4
==> the hiker travels at 4 mph.
Good Luck!!!