document.write( "Question 260260: Michael drove to a friend's house at a rate of 40mph. He returned by the same route at a rate of 45mph. The driving time for the round trip was 4 hours. What is the distance Michael traveled? \n" ); document.write( "
Algebra.Com's Answer #191700 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "D=45T \n" ); document.write( "D=40(4-T) \n" ); document.write( "BECAUSE THE DISTANCES ARE THE SAME WE HAVE: \n" ); document.write( "45T=40(4-T) \n" ); document.write( "45T=160-40T \n" ); document.write( "45T+40T=160 \n" ); document.write( "85T=160 \n" ); document.write( "T=160/85 \n" ); document.write( "T=1.882 HOURS FOR THE 45 MPH TRIP. \n" ); document.write( "4-1.882=2.118 HOURS FOR THE 40 MPH TRIP. \n" ); document.write( "D=45*1.882=84.7 MILES IS THE ONE WAY DISTANCE. \n" ); document.write( "D=40*2.118=84.7 DITTO. \n" ); document.write( "TOTAL DISTANCE TRAVELEDIS: \n" ); document.write( "2*84.7=169.4 MILES. \n" ); document.write( " |