document.write( "Question 336281: 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 at 1/2 mile per hour slower than the other group, find the rate of each group. \n" ); document.write( "
Algebra.Com's Answer #241095 by ankor@dixie-net.com(22740)\"\" \"About 
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Trail is approximately 1200 miles between Old Franklin, Missouri, and Santa Fe, New Mexico.
\n" ); document.write( " Suppose that a group of hikers start from each town and walk the trail toward each other.
\n" ); document.write( " They meet after a total hiking time of 240 hours.
\n" ); document.write( " If one group travels at 1/2 mile per hour slower than the other group,
\n" ); document.write( " find the rate of each group.
\n" ); document.write( ":
\n" ); document.write( "When they meet the distance of each group totals 1200 mi
\n" ); document.write( ":
\n" ); document.write( "Let s = speed of one group
\n" ); document.write( "then
\n" ); document.write( "(s+.5) = speed of the other group
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation, dist = speed * time
\n" ); document.write( "240s + 240(s+.5) = 1200
\n" ); document.write( "240s + 240s + 120 = 1200
\n" ); document.write( "480s = 1200 - 120
\n" ); document.write( "480s = 1080
\n" ); document.write( "s = \"1080%2F480\"
\n" ); document.write( "s = 2.25 mph is one group
\n" ); document.write( "and
\n" ); document.write( "2.25 + .5 = 2.75 mph is the other group
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that is true; find the distance traveled by each group
\n" ); document.write( "240(2.25) = 540 mi
\n" ); document.write( "240(2.75) = 660 mi
\n" ); document.write( "------------------
\n" ); document.write( "total dist: 1200 mi \n" ); document.write( "
\n" );