document.write( "Question 231106: \" The car travel toward each other from points 500 kilometers apart. The two cars meet in 4 hours. What is the average speed of each car if one travels 15 kilometers per hour faster than the other? \" \n" ); document.write( "
Algebra.Com's Answer #171321 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two cars travel toward each other from points 500 kilometers apart. \n" ); document.write( " The two cars meet in 4 hours. \n" ); document.write( " What is the average speed of each car if one travels 15 kilometers per hour faster than the other? \n" ); document.write( ": \n" ); document.write( "Let s = speed of the slower car \n" ); document.write( "then \n" ); document.write( "(s+15) = speed of the faster car \n" ); document.write( ": \n" ); document.write( "Write a distance equation, (both cars travel for 4 hrs) dist = time * speed: \n" ); document.write( ": \n" ); document.write( "The sum of the distances = 500 km \n" ); document.write( "4s + 4(s+15) = 500 \n" ); document.write( ": \n" ); document.write( "4s + 4s + 60 = 500 \n" ); document.write( ": \n" ); document.write( "8s = 500 - 60 \n" ); document.write( ": \n" ); document.write( "8s = 440 \n" ); document.write( "s = \n" ); document.write( "s = 55 km/hr is the slower car \n" ); document.write( "then, obviously \n" ); document.write( "55 + 15 = 70 km/hr is the faster car \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution by finding the total dist \n" ); document.write( "4(55) = 220 \n" ); document.write( "4(70) = 280 \n" ); document.write( "------------ \n" ); document.write( "total = 500 \n" ); document.write( " |