document.write( "Question 1147421: You biked uphill for 3.5 hours. The return trip took 2.5 hours because you traveled 2mph faster. How far did you travel downhill? \n" ); document.write( "

Algebra.Com's Answer #768743 by ikleyn(52847) $\"\"$ $\"About$

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document.write( "Let \"d\" be the unknown one-way distance, in miles.\r\n" );
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document.write( "Then the average speed biking up was    mph;  the average speed of return trip was   mph.\r\n" );
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document.write( "The difference in average rates was 2 mph\r\n" );
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document.write( "     -  = 2  mph.\r\n" );
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document.write( "It is your basic equation.\r\n" );
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document.write( "To solve it, first simplify the equation\r\n" );
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document.write( "     -  = 2,   or\r\n" );
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document.write( "       -     = 2.\r\n" );
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document.write( "Next, multiply both sides by 35. You will get\r\n" );
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document.write( "    (2d)*7 - (2d)*5 = 70\r\n" );
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document.write( "    14d    - 10d    = 70\r\n" );
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document.write( "     4d             = 70\r\n" );
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document.write( "      d             =  = 17.5  miles.     ANSWER\r\n" );
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