document.write( "Question 1017627: Two hikers,Alan and Ben, are 20.5 miles apart and walking towards each other. They meet in 5 hours. Find the rate of each hiker if Ben walks 0.3 mph faster than Alan. \n" ); document.write( "
Algebra.Com's Answer #633978 by ankor@dixie-net.com(22740)\"\" \"About 
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Two hikers,Alan and Ben, are 20.5 miles apart and walking towards each other.
\n" ); document.write( " They meet in 5 hours.
\n" ); document.write( " Find the rate of each hiker if Ben walks 0.3 mph faster than Alan.
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\n" ); document.write( "Let s = Alan walking speed
\n" ); document.write( "Ben walks .3 mph faster, therefore
\n" ); document.write( "(s+.3) = Ben's speed
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\n" ); document.write( "When they meet, the sum of their travel distances will equal 20.5
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\n" ); document.write( "Write a distance equation: dist = speed * time
\n" ); document.write( "5(s + .3) + 5s = 20.5
\n" ); document.write( "5s + 1.5 + 5s = 20.5
\n" ); document.write( "5s + 5s = 20.5 - 1.5
\n" ); document.write( "10s = 19
\n" ); document.write( "s = 19/10
\n" ); document.write( "s = 1.9 mph is Alan's walking speed
\n" ); document.write( "then
\n" ); document.write( "1.9 + .3 = 2.2 mph is Ben's
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\n" ); document.write( "confirm this solution by finding the sum of their distances
\n" ); document.write( "5(1.9) = 9.5 mi
\n" ); document.write( "5(2.2) = 11.0
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\n" ); document.write( "totals to: 20.5
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