# Hiker displacement

1. Sep 29, 2009

### ayerski

1. The problem statement, all variables and given/known data
In reaching her destination, a backpacker walks with an average velocity of 1.34 m/s die west. This average velocity results because she hikes for 6.44 km with an average velocity of 2.68 m/s, due west, turns around, and hikes with an average velocity of .447 m/s due east. How far east did she walk?

2. Relevant equations
velocity formula number 2

3. The attempt at a solution
Trying to use multiple variables to solve but need a push in the right direction

2. Sep 29, 2009

### ryan88

I'm not sure if this is correct, but the way I would do it is to compare the times taken for the first two parts of the journey with the time taken for the overall journey.

Using:

$$t=\frac{x}{v}$$

gives the following equation which can easily be solved for x to find the distance due east.

$$\frac{6440}{2.68} + \frac{x}{0.447} = \frac{6440-x}{1.34}$$

I hope that helps.

Ryan