SOLUTION: In reaching her destination, a backpacker walks with an average velocity of 1.10 m/s, due west. This average velocity results, because she hikes for 5.61 km with an average velocit
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Question 1145152: In reaching her destination, a backpacker walks with an average velocity of 1.10 m/s, due west. This average velocity results, because she hikes for 5.61 km with an average velocity of 2.77 m/s due west, turns around, and hikes with an average velocity of 0.376 m/s due east. How far east did she walk (in kilometers)?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in seconds for westbound hike
Let = time in seconds for eastbound hike
Let = distance walked eastward
-------------------------------------------------------
The average velocity is [ displacement in meters ] / [ total time in seconds moving ]
(1)
-----------------------------------------
For the 1st part of trip:
(2)
----------------------------
For the second part of the trip:
(3)
--------------------------------
There are 3 equations & 3 unknowns, so it's solvable.
(2) sec
--------------------------------
(1)
(1)
(1)
(1)
(1)
(1)
(1) sec
---------------------------------
(3)
(3)
(3)
In km:
(3)
(3) km
---------------------------------
check:
(1)
(1)
(1)
(1)
Answer is off. I think method is OK. Check the math
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