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
\n" ); document.write( "\n" ); document.write( "1. Find the speed of the current (c) and each girl's rowing speed.\r
\n" ); document.write( "\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.
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Algebra.Com's Answer #541726 by lwsshak3(11628)\"\" \"About 
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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
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