document.write( "Question 110994: In a race, Car A starts 1 mile behind Car B. Car A is traveling at 55 mph, while Car B is traveling at 40 mph. How long will it take for Car A to overtake Car B? \n" ); document.write( "
Algebra.Com's Answer #81002 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In a race, Car A starts 1 mile behind Car B. Car A is traveling at 55 mph, while Car B is traveling at 40 mph. How long will it take for Car A to overtake Car B? \n" ); document.write( "----------- \n" ); document.write( "Car A DATA: \n" ); document.write( "Rate = 55 mph ; Distance : x+1 mile ; Time = d/r = (x+1)/55 hrs. \n" ); document.write( "------------- \n" ); document.write( "Car B DATA: \n" ); document.write( "Rate = 40 mph ; Distance : x miles ; Time = d/r = x/40 \n" ); document.write( "---------------------------------------- \n" ); document.write( "A time = B time \n" ); document.write( "(x+1)/55 = x/40 \n" ); document.write( "40(x+1) = 55x \n" ); document.write( "15x = 40 \n" ); document.write( "x = 8/3 miles \n" ); document.write( "------------- \n" ); document.write( "Time = x/40 = (8/3)/40 \n" ); document.write( "Time = 1/15 hr. = 15 minutes \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |