document.write( "Question 220937: A car leaves Manila, heading toward a resort, at an average speed of 60 miles per hour. On a parallel track, another car leaves Manila a half hour later and travels at an average speed of 90 milers per hour. At what point will Car B pass car A? \n" ); document.write( "
Algebra.Com's Answer #165742 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A car leaves Manila, heading toward a resort, at an average speed of 60 miles per hour. On a parallel track, another car leaves Manila a half hour later and travels at an average speed of 90 milers per hour. At what point will Car B pass car A? \n" ); document.write( ". \n" ); document.write( "Apply the distance formula: \n" ); document.write( "d = rt \n" ); document.write( "where \n" ); document.write( "d is distance \n" ); document.write( "r is rate or speed \n" ); document.write( "t is time \n" ); document.write( ". \n" ); document.write( "Let x = time traveled \n" ); document.write( "then \n" ); document.write( "\"distance traveled by car A\" = 60x \n" ); document.write( "\"distance traveled by car B\" = 90(x-.5) \n" ); document.write( ". \n" ); document.write( "Car B will pass car when their distance are equal: \n" ); document.write( "60x = 90(x-.5) \n" ); document.write( "60x = 90x-45 \n" ); document.write( "45 = 30x \n" ); document.write( "45/30 = x \n" ); document.write( "1.5 hours = x \n" ); document.write( "(time Car B will pass Car A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |