document.write( "Question 896281: A woman can hike 1 mph. faster down a trail to Cochita Lake than she can on the return trip uphill. It takes her 2 hours to get to the lake and 3 hours to return. What is her speed hiking down to the lake? (Directions for problem: Write as an equation. Don't solve!) \n" ); document.write( "
Algebra.Com's Answer #543410 by Theo(13342)\"\" \"About 
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let her rate downhill = r
\n" ); document.write( "let her rate uphill = r-1
\n" ); document.write( "the distance is the same which we'll call d.\r
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\n" ); document.write( "\n" ); document.write( "rate * time = distance.\r
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\n" ); document.write( "\n" ); document.write( "going downhill this becomes d = 2r
\n" ); document.write( "going uphill this becomes d = 3(r-1)\r
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\n" ); document.write( "\n" ); document.write( "since the distance is the same, you can set these equations equal to each other to get:\r
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\n" ); document.write( "\n" ); document.write( "you get 2r = 3*(r-1)\r
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\n" ); document.write( "\n" ); document.write( "that's your equation.\r
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\n" ); document.write( "\n" ); document.write( "you then solve for r which answers the question because r represents the rate of travel going downhill.\r
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