document.write( "Question 757155: Jon recently drove to visit his parents who live 192 miles away. On his way there his average speed was 20 mph faster than on his way home. If Jon spent 8 hours driving, find the 2 rates. \n" ); document.write( "
Algebra.Com's Answer #460855 by LearnWithMajor(33)\"\" \"About 
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x = rate of travel to parents, y = rate of travel home\r
\n" ); document.write( "\n" ); document.write( "On his way there his average speed was 20 mph faster than on his way home.\r
\n" ); document.write( "\n" ); document.write( "\"x+=+y+%2B+20\"\r
\n" ); document.write( "\n" ); document.write( "Jon spent 8 hours driving\r
\n" ); document.write( "\n" ); document.write( "Time equals distance divided by rate.\r
\n" ); document.write( "\n" ); document.write( "t = d/r\r
\n" ); document.write( "\n" ); document.write( "\"192%2Fx+%2B+192%2Fy+=+8\" time for the trip to parents plus time to get home equals 8 hours\r
\n" ); document.write( "\n" ); document.write( "Now substituting y+20 in for x
\n" ); document.write( "\"192%2F%28y%2B20%29+%2B+192%2Fy+=+8\"
\n" ); document.write( "\"192y+%2B+192%28y%2B20%29+=+8y%28y%2B20%29\"
\n" ); document.write( "\"192y+%2B+192y+%2B+3840+=+8y%5E2+%2B+160y\"
\n" ); document.write( "\"8y%5E2+-+224y+-+3840+=+0\"
\n" ); document.write( "\"y%5E2+-+28y+-+480+=+0\"
\n" ); document.write( "\"%28y-20%29%28y%2B12%29=0\"
\n" ); document.write( "y = 20
\n" ); document.write( "x = y + 20 = 20 + 20 = 40
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