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)\"\" \"About 
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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?
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\n" ); document.write( "Let d = the one-way distance
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\n" ); document.write( "Write a time equation, time = dist/speed
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\n" ); document.write( "\"d%2F18\" + \"d%2F14\" = 8 hrs
\n" ); document.write( "Multiply by the LCM of 18 and 14, which is 252:
\n" ); document.write( "252*\"d%2F18\" + 112*\"d%2F14\" = 252(8)
\n" ); document.write( "Cancel the denominators: results:
\n" ); document.write( "14d + 18d = 2016
\n" ); document.write( "32d = 2016
\n" ); document.write( "d = \"2016%2F32\"
\n" ); document.write( "d = 63 miles one way
\n" ); document.write( "then
\n" ); document.write( "2(63) = 126 mi altogether
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\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
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\n" ); document.write( "total: 8 hrs
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