document.write( "Question 849651: Carlos bikes 3 mi/h faster than Tim. It takes Tim 1 hour longer than Carlos to bike 36 miles. How long does it take Carlos to bike 36 miles? \n" ); document.write( "
Algebra.Com's Answer #511762 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Carlos bikes 3 mi/h faster than Tim. It takes Tim 1 hour longer than Carlos to bike 36 miles. How long does it take Carlos to bike 36 miles? \n" ); document.write( "*** \n" ); document.write( "let x=Tim's speed \n" ); document.write( "x+3=carlos' speed \n" ); document.write( "travel time=distance/speed \n" ); document.write( ".. \n" ); document.write( "Tim's travel time-Carlos' travel time=1 \n" ); document.write( " \n" ); document.write( "36(x+3)-36x=x(x+3) \n" ); document.write( "36x+108-36x=x^2+3x \n" ); document.write( "x^2+3x-108=0 \n" ); document.write( "(x+12)(x-9)=0 \n" ); document.write( "x=-12(reject) \n" ); document.write( "or \n" ); document.write( "x=9 \n" ); document.write( "36/(x+3)=36/12=3 \n" ); document.write( "How long does it take Carlos to bike 36 miles? 3 hrs \n" ); document.write( " |