document.write( "Question 493783: A truck enters a highway driving 60 mph. A car enters the highway at the same place 9 minutes later and drives 69 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck?
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Algebra.Com's Answer #335450 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A truck enters a highway driving 60 mph. A car enters the highway at the same place 9 minutes later and drives 69 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck? \n" ); document.write( ". \n" ); document.write( "Apply the distance formula of d=rt \n" ); document.write( ". \n" ); document.write( "Since speed is given in terms of \"hours\" we must convert 9 minutes to hours: \n" ); document.write( "9 minutes = 9/60 hours = 3/20 hours \n" ); document.write( ". \n" ); document.write( "Let x = time (hours) it takes car to pass the truck \n" ); document.write( "then \n" ); document.write( "60(x + 3/20) = 69x \n" ); document.write( "multiplying both sides by 20: \n" ); document.write( "60(20x + 3) = 1380x \n" ); document.write( "1200x + 180 = 1380x \n" ); document.write( "180 = 180x \n" ); document.write( "1 hour = x \n" ); document.write( " |