document.write( "Question 893928: Emily rows 6 miles downstream in 1 hour and Ashley, rowing 1 mile per hour faster, completes the return trip in 2 hours.\r
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document.write( "1. Find the speed of the current (c) and each girl's rowing speed.\r
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document.write( "2. If Emily and Ashley were rowing separately, who would complete their trip first and by how long? Round to the nearest hundredth if necessary. \n" );
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Algebra.Com's Answer #541726 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Emily rows 6 miles downstream in 1 hour and Ashley, rowing 1 mile per hour faster, completes the return trip in 2 hours. \n" ); document.write( "1. Find the speed of the current (c) and each girl's rowing speed. \n" ); document.write( "2. If Emily and Ashley were rowing separately, who would complete their trip first and by how long? Round to the nearest hundredth if necessary. \n" ); document.write( "*** \n" ); document.write( "let c=speed of current \n" ); document.write( "let x=Emily's rowing speed \n" ); document.write( "x+c=Emily's speed downstream \n" ); document.write( "x+1=Ashley's rowing speed \n" ); document.write( "x+1-c=Ashley's speed upstream \n" ); document.write( "travel time*speed=distance \n" ); document.write( ".. \n" ); document.write( "1*(x+c)=6 \n" ); document.write( "2*(x+1-c)=6 \n" ); document.write( ".. \n" ); document.write( "x+c=6 \n" ); document.write( "2x+2-2c=6 \n" ); document.write( ".. \n" ); document.write( "x+c=6 \n" ); document.write( "2x-2c=4 \n" ); document.write( ".. \n" ); document.write( "2x+2c=12 \n" ); document.write( "2x-2c=4 \n" ); document.write( "add \n" ); document.write( "4x=16 \n" ); document.write( "x=4 \n" ); document.write( "c=6-x=2 \n" ); document.write( "speed of current=2 mph \n" ); document.write( "Emily's rowing speed=4 mph \n" ); document.write( "Ashley's rowing speed=5 mph \n" ); document.write( "rowing separately downstream and upstream: \n" ); document.write( "6/(4+2)+6/(4-2)=3 hrs (Emily's travel time) \n" ); document.write( "6/(5+2)+6/(5-2)=2-6/7 hr (Ashley's travel time) \n" ); document.write( "Ashley completes her trip in 1/7 hr less time than Emily\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |