# New Velocity/Distance Question 1/25

## Homework Statement

In reaching her destination, a backpacker walks with an average velocity of 1.44 m/s, due west. This average velocity results, because she hikes for 5.48 km with an average velocity of 3.25 m/s due west, turns around, and hikes with an average velocity of 0.683 m/s due east. How far east did she walk (in kilometers)?

## Homework Equations

v1 = 3.25 m/s west
d1= 5480 m
t1= 1686

v2 = 0.638 m/s east
d2 = ?
t2= ?

## The Attempt at a Solution

I know I have to plug in my numbers into the formula but I do not know how to derive second time or distance. Please help.

PhanthomJay
Homework Helper
Gold Member

## Homework Statement

In reaching her destination, a backpacker walks with an average velocity of 1.44 m/s, due west. This average velocity results, because she hikes for 5.48 km with an average velocity of 3.25 m/s due west, turns around, and hikes with an average velocity of 0.683 m/s due east. How far east did she walk (in kilometers)?

## Homework Equations

v1 = 3.25 m/s west
d1= 5480 m
t1= 1686

v2 = 0.638 m/s east
d2 = ?
t2= ?

## The Attempt at a Solution

I know I have to plug in my numbers into the formula but I do not know how to derive second time or distance. Please help.
What is the formula for average velocity?

What is the formula for average velocity?
V = D/T

haruspex
Homework Helper
Gold Member
2020 Award
I do not know how to derive second time or distance.
You successfully found t1 by an equation. You have two more such equations available: one for the return trip and one for the trip as a whole. You have two unknowns.

PhanthomJay