document.write( "Question 1119567: Denmark bikes the 36km to the resort averaging a certain speed. the return trip is made at a speed 3kph slower. the total time for the roundtrip is 7 hours. find Denmark's averagde speed on each part of the trip. \n" ); document.write( "

Algebra.Com's Answer #735123 by ikleyn(52831) $\"\"$ $\"About$

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document.write( "Let x be the slower speed in kilometers per hour.\r\n" );
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document.write( "Then the faster speed is (x+3) km/h.\r\n" );
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document.write( "The time equation is \r\n" );
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document.write( " +  = 7.    ( <<<---=== each fraction in the left side is the time, spent to cover 36 kilometers \r\n" );
document.write( "                                with the corresponding speed).\r\n" );
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document.write( "To solve it, multiply both sides by x*(x+3); then simplify and solve the quadratic equation.\r\n" );
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document.write( "Answer.  The slower speed is 9 km/h; the faster speed is 12 km/h.\r\n" );
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document.write( "Check.    +  = 4 + 3 = 7 hours.\r\n" );
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