Ft. Benton Ft. Vancouver (OR) 12 38 Ft. Union 64 17 10 36 35 58 43 22 62 58 15 53 Ft. Boise 13 Ft. Hall 15 56 40 Ft. Laramie Ft. Kearney 28 11 9 32 7 21 38 Ft. Bridger St. Joseph 32 12 31 28 16 16 3 Ft. Sutter 14 84 53 6 4 6 25 Ft. Genoa Ft. Leavenworth St. Louis (MO) Ft. Vasquez 4 22 Independence 1 54 9 25 70 3 Ft. Sctt 18 2 Ft. Smith (AR)

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From 1840 to 1850, more than 12,000 pioneers migrated west in wagon trains. It was typically
about a 2,000-mile journey, and pioneers averaged about 10 miles per day. One pioneer family,
the Smiths, is planning to join a wagon train traveling west to Oregon. The destination is Fort
Vancouver, which is near present-day Portland. The family plans to join a wagon train in
St. Louis. However, the trains follow various trails west that are mostly determined by the location
of forts and trading posts along the way. The Smith family wants to choose a wagon train
that will get them to Oregon in the shortest amount of time. They have checked around with the
different wagon train leaders plus immigrants, soldiers, fur traders, and scouts who have previously
made the trip west, and from the information they have gathered, they have developed the
following network, with estimated times (in days) along each branch: a. Determine the shortest route for the Smiths from St. Louis to Ft. Vancouver.
b. Another family, the Steins, is leaving from Ft. Smith, Arkansas. Determine the shortest route
for the Steins to Ft. Vancouver, Oregon. 

Ft. Benton
Ft. Vancouver (OR)
12
38
Ft. Union
64
17
10
36
35
58
43
22
62
58
15
53
Ft. Boise
13 Ft. Hall
15
56
40
Ft. Laramie
Ft. Kearney
28
11
9
32
7
21
38
Ft. Bridger
St. Joseph
32
12
31
28
16
16
3
Ft. Sutter
14
84
53
6
4
6
25
Ft. Genoa
Ft. Leavenworth
St. Louis
(MO)
Ft. Vasquez
4
22
Independence
1
54
9
25
70
3
Ft. Sctt
18
2 Ft. Smith (AR)
Transcribed Image Text:Ft. Benton Ft. Vancouver (OR) 12 38 Ft. Union 64 17 10 36 35 58 43 22 62 58 15 53 Ft. Boise 13 Ft. Hall 15 56 40 Ft. Laramie Ft. Kearney 28 11 9 32 7 21 38 Ft. Bridger St. Joseph 32 12 31 28 16 16 3 Ft. Sutter 14 84 53 6 4 6 25 Ft. Genoa Ft. Leavenworth St. Louis (MO) Ft. Vasquez 4 22 Independence 1 54 9 25 70 3 Ft. Sctt 18 2 Ft. Smith (AR)
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