document.write( "Question 1016359: Two hikers, Alan and Ben, are 16 miles apart and walking towards each other. They meet in 4 hours. Find the rate of each hiker if Ben walks 0.4 mph faster than Alan. \n" ); document.write( "
Algebra.Com's Answer #632868 by ankor@dixie-net.com(22740)\"\" \"About 
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Two hikers, Alan and Ben, are 16 miles apart and walking towards each other.
\n" ); document.write( " They meet in 4 hours.
\n" ); document.write( " Find the rate of each hiker if Ben walks 0.4 mph faster than Alan.
\n" ); document.write( ":
\n" ); document.write( "let s = Alan's hiking speed
\n" ); document.write( "Ben is .4 mph faster, therefore
\n" ); document.write( "(s+.4) = Ben's hiking speed
\n" ); document.write( ":
\n" ); document.write( "When they meet, the sum of their distances = 16 mi
\n" ); document.write( "They both hike for 4 hrs
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( "4(s+.4) + 4s = 16
\n" ); document.write( "4s + 1.6 + 4s = 16
\n" ); document.write( "8s = 16 - 1.6
\n" ); document.write( "8s = 14.4
\n" ); document.write( "s = 14.4/8
\n" ); document.write( "s = 1.8 mph is Alan's speed
\n" ); document.write( "then
\n" ); document.write( "1.8 + .4 = 2.2 mph is Ben's speed
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this, find the actual dist each traveled, should add up to 16.
\n" ); document.write( "4(1.8) = 7.2 mi
\n" ); document.write( "4(2.2) = 8.8 mi
\n" ); document.write( "-----------------
\n" ); document.write( "total dist: 16 mi \n" ); document.write( "
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