New Velocity/Distance Question 1/25

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The discussion revolves around a backpacker's journey involving two segments of hiking, one westward and one eastward, with specific average velocities. The backpacker hikes 5.48 km west at 3.25 m/s before turning around and hiking back east at 0.683 m/s. The average velocity for the entire trip is calculated to be 1.44 m/s due west. Participants are seeking assistance in determining the distance traveled east and the time taken for each segment of the journey. The key formulas for average velocity, distance, and time are highlighted, emphasizing the need to derive the unknowns using these equations.
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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.

 
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ilh said:

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?
 
PhanthomJay said:
What is the formula for average velocity?
V = D/T
 
ilh said:
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.
 
ilh said:
V = D/T
But what does D represent when finding average velocity?and T?
 
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