document.write( "Question 139819: A cyclist traveled at a rate of 24 mi/h to visit a nearby town . The cyclist averaged 18 mi/h on the return trip. If the round trip took 4.9 hours, find the one way distance to the nearby town.\r
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Algebra.Com's Answer #101907 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A cyclist traveled at a rate of 24 mi/h to visit a nearby town . The cyclist averaged 18 mi/h on the return trip. If the round trip took 4.9 hours, find the one way distance to the nearby town. \n" ); document.write( ": \n" ); document.write( "Let d = distance to town \n" ); document.write( ": \n" ); document.write( "Write a time equation: Time = dist/speed \n" ); document.write( ": \n" ); document.write( "Time to + time back = 4.9 hrs \n" ); document.write( " \n" ); document.write( "Multiply equation by 432 (18*24) to get rid of the denominators: \n" ); document.write( "432* \n" ); document.write( "Cancel the denominators and you have: \n" ); document.write( "18d + 24d = 2116.8 \n" ); document.write( ": \n" ); document.write( "42d = 2116.8 \n" ); document.write( "d = \n" ); document.write( "d = 50.4 miles \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( "50.4/24 + 50.4/18 = \n" ); document.write( "2.1 + 2.8 = 4.9 \n" ); document.write( " |