document.write( "Question 625462: In a race, Car A starts 1 mile behind Car B. Car A is traveling at 65 miles per hour, while Car B is traveling at 45 miles per hour. How long will it take for Car A to overtake Car B? \n" ); document.write( "
Algebra.Com's Answer #393543 by reynard2007(52)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The moment Car A overtakes Car B is when they have travelled the same distance. However, Car A has to make up for an extra mile since he started 1 mile behind. Let x be the number of hours. \n" ); document.write( " \n" ); document.write( "Distance = Rate * Time \n" ); document.write( "Distance of Car A = Distance of Car B + 1 \n" ); document.write( " \n" ); document.write( "(65 * x) = (45 * x ) + 1 \n" ); document.write( "65x-45x = 1 \n" ); document.write( "20x = 1 \n" ); document.write( "x = 1/20 hour = 3 minutes \n" ); document.write( " \n" ); document.write( "Car A will overtake Car B in 3 minutes \n" ); document.write( " \n" ); document.write( " |