document.write( "Question 97895: 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. \n" ); document.write( "
Algebra.Com's Answer #71299 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! : 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. \n" ); document.write( ": \n" ); document.write( "Let d = one-way distance to the town \n" ); document.write( ": \n" ); document.write( "Write a time equation, Time = dist/speed \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Multiply the equation by the least common multiple, 72: \n" ); document.write( "72 \n" ); document.write( ": \n" ); document.write( "Cancel out the denominators: \n" ); document.write( "3d + 4d = 352.8 \n" ); document.write( ": \n" ); document.write( "7d = 352.8 \n" ); document.write( ": \n" ); document.write( "d = 352.8/7 \n" ); document.write( ": \n" ); document.write( "d = 50.4 miles \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( " 2.1 + 2.8 = 4.9 \n" ); document.write( " |