document.write( "Question 743631: Cars A and B started simultaneously from opposite ends of a straight 315-mile road and travelled towards each other without stopping until they passed each other at location X.\r
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document.write( "The average speed of car B was 15 mph higher than car A's.\r
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document.write( "If car B's average speed is a third higher than that of Car A, how many miles of the road had car A travelled when the two cars passed each other?
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Algebra.Com's Answer #453011 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Cars A and B started simultaneously from opposite ends of a straight 315-mile road and travelled towards each other without stopping until they passed each other at location X. \n" ); document.write( "The average speed of car B was 15 mph higher than car A's.\r \n" ); document.write( "\n" ); document.write( "If car B's average speed is a third higher than that of Car A, how many miles of the road had car A travelled when the two cars passed each other?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D= 315\r \n" ); document.write( "\n" ); document.write( "Car A speed = a mph.............x miles \n" ); document.write( "car B speed = a+15..............315-x miles\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(a+15)=(1/3)a+a \n" ); document.write( "a+15=4a/3 \n" ); document.write( "4a/3-a=15 \n" ); document.write( "a=45................ speed of car A \n" ); document.write( "speed of car B = 45+15=60 mph\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Times are equal\r \n" ); document.write( "\n" ); document.write( "x/45= (315-x)/60\r \n" ); document.write( "\n" ); document.write( "60x=45(315-x)\r \n" ); document.write( "\n" ); document.write( "60x=1575-45x \n" ); document.write( "105x=14175 \n" ); document.write( "x=135\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Car A has traveled = 135 miles \n" ); document.write( "Car B has traveled the balance=>180 miles \n" ); document.write( " |