document.write( "Question 83520: A motorist traveled from city A to city B at an average speed of 50 mph. On the return trip, he left at 3:00pm and drove at an average rate of 60 mph, making the trip in 33 minutes less time. What is the distance from city A to city B? \n" ); document.write( "
Algebra.Com's Answer #60036 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A motorist traveled from city A to city B at an average speed of 50 mph. On the return trip, he left at 3:00pm and drove at an average rate of 60 mph, making the trip in 33 minutes less time. What is the distance from city A to city B? \n" ); document.write( "----------------- \n" ); document.write( "A to B DATA: \n" ); document.write( "Rate = 50 mph ; time = x hrs ; distance = rt = 50x miles \n" ); document.write( "---------------------- \n" ); document.write( "B to A DATA: \n" ); document.write( "Rate = 60 mph ; time = x-33/60 hrs ; distance = rt = 60(x-(33/60)) miles \n" ); document.write( "------------------------ \n" ); document.write( "EQUATION: \n" ); document.write( "distance = distance \n" ); document.write( "50x = 60(x-(33/60)) \n" ); document.write( "50x = 60x - 33 \n" ); document.write( "10x = 33 \n" ); document.write( "x = 3.3 hrs \n" ); document.write( "distance from A to B = 50(3.3) = 165 miles \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |