document.write( "Question 519747: A fisherman takes his boat out to sea and then back to the harbor. The entire trip lasts 8 hours. If he travels out at 18 mph and follows the same route back at 14 mph. How many miles does he travel altogether? \n" ); document.write( "
Algebra.Com's Answer #345864 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A fisherman takes his boat out to sea and then back to the harbor. \n" ); document.write( " The entire trip lasts 8 hours. If he travels out at 18 mph and follows the same route back at 14 mph. \n" ); document.write( " How many miles does he travel altogether? \n" ); document.write( ": \n" ); document.write( "Let d = the one-way distance \n" ); document.write( ": \n" ); document.write( "Write a time equation, time = dist/speed \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "Multiply by the LCM of 18 and 14, which is 252: \n" ); document.write( "252* \n" ); document.write( "Cancel the denominators: results: \n" ); document.write( "14d + 18d = 2016 \n" ); document.write( "32d = 2016 \n" ); document.write( "d = \n" ); document.write( "d = 63 miles one way \n" ); document.write( "then \n" ); document.write( "2(63) = 126 mi altogether \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solutions by finding the times \n" ); document.write( "63/18 = 3.5 hrs \n" ); document.write( "63/14 = 4.5 hrs \n" ); document.write( "--------------- \n" ); document.write( "total: 8 hrs \n" ); document.write( " \n" ); document.write( " |