document.write( "Question 191893: A cyclist traveled at arate of 32mph to visit a nearby town. The cyclist averaged 10 mph on hte return trip. If the round trip took 6.3 hours, find the distance to the nearby town. \n" ); document.write( "
Algebra.Com's Answer #143980 by tvandenberg(45)![]() ![]() ![]() You can put this solution on YOUR website! The trip is \"x\" miles each way.\r \n" ); document.write( "\n" ); document.write( "Since time = distance / speed,\r \n" ); document.write( "\n" ); document.write( "x / 32 + x / 10 = 6.3\r \n" ); document.write( "\n" ); document.write( "Let's do this without a calculator. Chose a common denominator, 160.\r \n" ); document.write( "\n" ); document.write( "5x / 160 + 16x / 160 = 6.3\r \n" ); document.write( "\n" ); document.write( "21x / 160 = 6.3\r \n" ); document.write( "\n" ); document.write( "21x / 16 = 63\r \n" ); document.write( "\n" ); document.write( "x = 63 * 16 / 21 = 3 * 16 = 48\r \n" ); document.write( "\n" ); document.write( "The town is 48 miles away. \n" ); document.write( " |