document.write( "Question 374821: Two cars start from the same point at the same time and travel in opposite directions. The fastest car travels 12 miles per hour faster than the other. If after 6 hours, the cars are 648 km apart, what is the speed of each car? \n" ); document.write( "
Algebra.Com's Answer #266545 by vasumathi(46)![]() ![]() ![]() You can put this solution on YOUR website! Let the speed of the slower car = s \n" ); document.write( "then the speed of the faster car = s + 12 \n" ); document.write( "so within one hour the distance between them is \n" ); document.write( "d = s+12 + s \n" ); document.write( "d = 2s + 12 \n" ); document.write( "In 6 hours the distance would be 6d = 6(2s+12) \n" ); document.write( "so.... \n" ); document.write( "6(2s+12 ) = 648 \n" ); document.write( "divide both sides by 6 \n" ); document.write( "2s+12 = 648/6 \n" ); document.write( "2s+12 = 108 \n" ); document.write( "subtract 12 on both sides \n" ); document.write( "2s = 108-12 \n" ); document.write( "2s = 96 \n" ); document.write( "divide both sides by 2 \n" ); document.write( "s = 48 \n" ); document.write( "so the speed of the slower car = 48 mph \n" ); document.write( "and the speed of the faster car = 48 + 12 = 60 mph \n" ); document.write( " \n" ); document.write( " |