document.write( "Question 711552: Two hikers start from the same point and hike in opposite directions around a lake whose shoreline is 19 mi long. One hiker walks 0.5 mph faster than the other hiker. How fast did each hiker walk if they meet in 2 h?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #437453 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
When the sum of the distances they walk is \"+19+\" mi
\n" ); document.write( "that means they have met.
\n" ); document.write( "Let \"+d+\" = the distance the slower hiker travels
\n" ); document.write( "\"+19+-+d+\" = the distance the faster hiker travels
\n" ); document.write( "Let \"+s+\" = the speed of the slower hiker in mi/hr
\n" ); document.write( "\"+s+%2B+.5+\" = the speed of the faster hiker
\n" ); document.write( "---------------
\n" ); document.write( "Equation for slower hiker:
\n" ); document.write( "(1) \"+d+=+s%2A2+\"
\n" ); document.write( "Equation for faster hiker:
\n" ); document.write( "(2) \"+19+-+d+=+%28+s+%2B+.5+%29%2A2+\"
\n" ); document.write( "------------------------
\n" ); document.write( "(2) \"+19+-+d+=+2s+%2B+1+\"
\n" ); document.write( "(2) \"+2s+%2B+d+=+18+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+2s+%2B+2s+=+18+\"
\n" ); document.write( "(2) \"+4s+=+18+\"
\n" ); document.write( "(2) \"+s+=+4.5+\"
\n" ); document.write( "\"+s+%2B+.5+=+5+\"
\n" ); document.write( "The speed of the slower hiker is 4.5 mi/hr
\n" ); document.write( "The speed of the faster hiker is 5 mi/hr
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+d+=+s%2A2+\"
\n" ); document.write( "(1) \"+d+=+4.5%2A2+\"
\n" ); document.write( "(1) \"+d+=+9+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+19+-+d+=+%28+s+%2B+.5+%29%2A2+\"
\n" ); document.write( "(2) \"+19+-+d+=+%28+4.5+%2B+.5+%29%2A2+\"
\n" ); document.write( "(2) \"+19+-+d+=+10+\"
\n" ); document.write( "(2) \"+d+=+19+-+10+\"
\n" ); document.write( "(2) \"+d+=+9+\"
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );