SOLUTION: Two hikers start from the same point and hike in opposite directions around a lake whose shoreline is 19 mi long. One hiker walks 0.5 mph faster than the other hiker. How fast did
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: Two hikers start from the same point and hike in opposite directions around a lake whose shoreline is 19 mi long. One hiker walks 0.5 mph faster than the other hiker. How fast did
Log On
Question 711552: Two hikers start from the same point and hike in opposite directions around a lake whose shoreline is 19 mi long. One hiker walks 0.5 mph faster than the other hiker. How fast did each hiker walk if they meet in 2 h?
You can put this solution on YOUR website! When the sum of the distances they walk is mi
that means they have met.
Let = the distance the slower hiker travels = the distance the faster hiker travels
Let = the speed of the slower hiker in mi/hr = the speed of the faster hiker
---------------
Equation for slower hiker:
(1)
Equation for faster hiker:
(2)
------------------------
(2)
(2)
Substitute (1) into (2)
(2)
(2)
(2)
The speed of the slower hiker is 4.5 mi/hr
The speed of the faster hiker is 5 mi/hr
check answer:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
OK
