document.write( "Question 227740: if a car averages 55 mph on a certain trip, it will arrive 2 hours early. If the car averages 35 mph it will arrive 2 hours late. How many miles is the trip? \n" ); document.write( "
Algebra.Com's Answer #169206 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! if a car averages 55 mph on a certain trip, it will arrive 2 hours early. If the car averages 35 mph it will arrive 2 hours late. How many miles is the trip? \n" ); document.write( "------------- \n" ); document.write( "The difference in the time is 4 hours. \n" ); document.write( "----------------------------------------- \n" ); document.write( "1st car DATA: \n" ); document.write( "rate = 55 mph ; distance = x miles ; time = d/r = x/55 hrs \n" ); document.write( "------------------ \n" ); document.write( "2nd car DATA: \n" ); document.write( "rate = 35 mph ; distance = x miles ; time = d/r = x/35 hrs \n" ); document.write( "------------------ \n" ); document.write( "Equation: \n" ); document.write( "slower time - faster time = 4 hrs \n" ); document.write( "x/35 - x/55 = 4 \n" ); document.write( "55x - 35x = 4*35*55 \n" ); document.write( "20x = 7700 \n" ); document.write( "x = 385 miles (length of the trip) \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |