document.write( "Question 65907: The chen family went for a hike. they walked one-half of the length of the trail in the mornig. They walked one-third of the remaining distance in the hour after lunch. They walked half of the distance that remained during the next hour. Then they walked the last 2 miles of the trail. How many miles long is the trail? \n" ); document.write( "
Algebra.Com's Answer #46673 by pilly(1)![]() ![]() ![]() You can put this solution on YOUR website! The trail is 12 miles long.\r \n" ); document.write( "\n" ); document.write( "The best way to approach this is to start from the end of the trail where you know the distance was 2 miles.\r \n" ); document.write( "\n" ); document.write( "This was half of the remaining distance so that makes a total of 4 miles so far.\r \n" ); document.write( "\n" ); document.write( "Those combined were 2/3 of the remaining distance so that makes 6 miles total so far.\r \n" ); document.write( "\n" ); document.write( "That entire amount was half the trail which is then 12 miles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Consider a line representing the respective walking segments:\r \n" ); document.write( "\n" ); document.write( "~~~~~~~~~~1/2~~~~~~~~~~~~~~~~1/3~~~1/2~~~2 \n" ); document.write( "|-----------------------------------|---------|--------|--------| \n" ); document.write( "~~~~~~~~6miles~~~~~~~~~~~~~2 miles~~~2 miles~~~2 miles \n" ); document.write( " |