document.write( "Question 121162: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town? [I need the correct college algebra equation of the form D = rt] \n" ); document.write( "
Algebra.Com's Answer #88896 by checkley71(8403) ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "SEEING AS THE DISTANCES ARE THE SAME WE HAVE: \n" ); document.write( "24X=18(4.9-X) \n" ); document.write( "24X=88.2-18X \n" ); document.write( "24X+18X=88.2 \n" ); document.write( "42X=88.2 \n" ); document.write( "X=88.2/42 \n" ); document.write( "X=2.1 HOURS FOR THE 24 MPH TRIP. \n" ); document.write( "4.9-2.1=2.8 HOURS FOR THE 18 MPH TRIP. \n" ); document.write( "PROOF \n" ); document.write( "24*2.1=18*2.8 \n" ); document.write( "50.4=50.4 THEREFORE THE DISTANCE TO THE NEARBY TOWN IS 50.4 MILES. \n" ); document.write( " \n" ); document.write( " |