document.write( "Question 176658: A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby town. \n" ); document.write( "
Algebra.Com's Answer #131743 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist \n" ); document.write( "averaged 10 mph on the return trip. If the round trip took 6.3 hours, \n" ); document.write( " find the distance to the nearby town. \n" ); document.write( ": \n" ); document.write( "let d = one way distance traveled \n" ); document.write( ": \n" ); document.write( "write time equation time = dist/speed \n" ); document.write( "; \n" ); document.write( " \n" ); document.write( "mult eq by 160 to get rid of the denominators, \n" ); document.write( "160* \n" ); document.write( "results \n" ); document.write( "5d + 16d = 1006 \n" ); document.write( "; \n" ); document.write( "21d = 1008 \n" ); document.write( "d = \n" ); document.write( "d = 48 mi \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "check solution by finding the total time \n" ); document.write( "48/32 = 1.5 \n" ); document.write( "48/10 = 4.8 \n" ); document.write( "------------ \n" ); document.write( "total = 6.3 hr, confirms our solution \n" ); document.write( " |