document.write( "Question 915737: 1. George runs 10 miles per hour and Bill runs 6 miles per hour. They start on a jogging course at the same time and George finishes 1 hour ahead of Bill. How long is the course?
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document.write( "2. Karen takes 5 hours to count her store inventory. When Anna helps, they can count the inventory in 3 hours. How long will it take Anna to count inventory if she works alone? \n" );
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Algebra.Com's Answer #555735 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 1. George runs 10 miles per hour and Bill runs 6 miles per hour. They start on a jogging course at the same time and George finishes 1 hour ahead of Bill. How long is the course? \n" ); document.write( "*** \n" ); document.write( "let x=length of course \n" ); document.write( "Travel time=distance/speed \n" ); document.write( "x/6-x/10=1 \n" ); document.write( "lcd:30 \n" ); document.write( "5x-3x=30 \n" ); document.write( "2x=30 \n" ); document.write( "x=15 \n" ); document.write( "length of course=15 miles \n" ); document.write( "----------------------------------- \n" ); document.write( "2. Karen takes 5 hours to count her store inventory. When Anna helps, they can count the inventory in 3 hours. How long will it take Anna to count inventory if she works alone? \n" ); document.write( "*** \n" ); document.write( "1/5=karen's work rate \n" ); document.write( "1/x=anna's work rate \n" ); document.write( "1/3=work rate working together \n" ); document.write( "sum of indv work rates=work rate working together \n" ); document.write( "1/5+1/x=1/3 \n" ); document.write( "1/x=1/3-1/5=5/15-3/15=2/15 \n" ); document.write( "1/x=2/15 \n" ); document.write( "x=15/2 \n" ); document.write( "x=7.5 \n" ); document.write( "How long will it take Anna to count inventory if she works alone? 7.5 hrs \n" ); document.write( " |