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Hiking Santa FE



Hiking Santa FE
Hiking Santa FE
I NEED HELP- MATH WORD PROBLEM?

SYSTEMS OF LINEAR EQUATIONS AND PROBLEM SOLOVING.

The Santa Fe National Historic Trail is approximately 1200 miles between Old Franklin, Missouri and Santa Fe, New Mexico. Suppose that a group of hikers start from each town and walk the trail toward each other. They meet after a total hiking time of 240 hours. If one group travels 1/2 mile per hour slower than the other group, find the rate of each group.

x = fast group's rate, y = slow group's rate, all in mph

x = y + .5
240 ( x + y ) = 1200
240 ( y + .5 + y ) = 1200
480y + 120 = 1200
480y = 1080
y = 2.25 mph
x = 2.75 mph


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