document.write( "Question 398757: a hiker hikes up a mountain 1 mi/h slower than she hikes down the mountain. if it takes her 1.5 hours to hike up the mountain and only 1 hour to hike down it, how fast does she move in each direction? \n" ); document.write( "
Algebra.Com's Answer #282466 by mananth(16946)\"\" \"About 
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a hiker hikes up a mountain 1 mi/h slower than she hikes down the mountain. if it takes her 1.5 hours to hike up the mountain and only 1 hour to hike down it, how fast does she move in each direction?\r
\n" ); document.write( "\n" ); document.write( "hike down speed = x mph
\n" ); document.write( "hike up speed = x-1 mph
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\n" ); document.write( "distance is same up & down
\n" ); document.write( "...
\n" ); document.write( "d= rt
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\n" ); document.write( "(x-1)*1.5 = 1*x
\n" ); document.write( "1.5x-1.5 = x
\n" ); document.write( "1.5x-x=1.5
\n" ); document.write( "0.5x=1.5
\n" ); document.write( "/0.5
\n" ); document.write( "x=3 mph rate hiking down
\n" ); document.write( "hiking up rate = x-1 = 3-1 = 2 mph\r
\n" ); document.write( "\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca
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