document.write( "Question 886239: Two hikers start walking in opposite directions from the same place at the same time. The hiker heading west is walking 2 kilometers per hour faster than the hiker heading east. If they are 15 kilometers apart after 1.5 hours what is the rate of each hiker? Let x represent the rate of the westbound hiker and let y represent the rate of the eastbound hiker. \n" ); document.write( "
Algebra.Com's Answer #535776 by nerdybill(7384)\"\" \"About 
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Two hikers start walking in opposite directions from the same place at the same time. The hiker heading west is walking 2 kilometers per hour faster than the hiker heading east. If they are 15 kilometers apart after 1.5 hours what is the rate of each hiker? Let x represent the rate of the westbound hiker and let y represent the rate of the eastbound hiker.
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\n" ); document.write( "Let x = rate of westbound hiker
\n" ); document.write( "and y = rate of eastbound hiker
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\n" ); document.write( "From: \"The hiker heading west is walking 2 kilometers per hour faster than the hiker heading east.\"
\n" ); document.write( "x = y+2 (equation 1)
\n" ); document.write( "From: \"they are 15 kilometers apart after 1.5 hours\" we have
\n" ); document.write( "1.5(x+y) = 15 (equation 2)
\n" ); document.write( "substitute value of x from equation 1 into equation 2:
\n" ); document.write( "1.5(x+y) = 15
\n" ); document.write( "1.5(y+2+y) = 15
\n" ); document.write( "1.5(2y+2) = 15
\n" ); document.write( "2y+2 = 10
\n" ); document.write( "2y = 8
\n" ); document.write( "y = 4 kph (rate of eastbound hiker)
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\n" ); document.write( "rate of westbound hiker:
\n" ); document.write( "x = y+2
\n" ); document.write( "x = 4+2
\n" ); document.write( "x = 6 kph \n" ); document.write( "
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