document.write( "Question 439228: In a 16 km cross-country ski race Brett skied the first 7 km at a constant speed and then increased his speed by 3 km/h for the last 9 km. If he finished the entire race in 1 hour and 20 minutes, what was his speed for the first 7 km?\r
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document.write( "my teacher gave me the answer 10.5 km/hr but i cant set it up right. i know that d = r X t but for some reason when i set up the problem i get a different answer everytime and its never the right one. thanks for your help! \n" );
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Algebra.Com's Answer #303541 by jorel1380(3719)![]() ![]() You can put this solution on YOUR website! 7/x+9/(x+3)=1 1/3 \n" ); document.write( "7/x+9/(x+3)=4/3 hrs. \n" ); document.write( "Multiply all by 3(x)(x+3): \n" ); document.write( "7x3x(x+3)+9x3xX=4(x)(x+3) \n" ); document.write( "21x+63+27x=4x2+12x \n" ); document.write( "0=4x2-36x-63 \n" ); document.write( "0=(2x+3)(2x-21) \n" ); document.write( "x=-3/2 or 21/2 \n" ); document.write( "Throwing out the negative answer, we get Brett's initial speed to be 10.5 kph. Your teacher is actually right!!!!! \n" ); document.write( " |