document.write( "Question 887347: It takes Matt 2 hours to row 9 miles with the current and 6 hours to return against the current. How fast is he rowing and how fast is the current? \n" ); document.write( "

Algebra.Com's Answer #536555 by lwsshak3(11628) $\"\"$ $\"About$

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It takes Matt 2 hours to row 9 miles with the current and 6 hours to return against the current. How fast is he rowing and how fast is the current?
\n" ); document.write( "***
\n" ); document.write( "let x=Matt's rowing speed
\n" ); document.write( "let c=speed of current
\n" ); document.write( "x+c=speed with current
\n" ); document.write( "x-c=speed against current
\n" ); document.write( "travel time=distance/speed
\n" ); document.write( "..
\n" ); document.write( " $\"9%2F%28x%2Bc%29=2\"$
\n" ); document.write( " $\"9%2F%28x-c%29=6\"$
\n" ); document.write( "..
\n" ); document.write( "2x+2c=9
\n" ); document.write( "6x-6c=9
\n" ); document.write( "..
\n" ); document.write( "6x+6c=27(mult. by 3)
\n" ); document.write( "6x-6c=9
\n" ); document.write( "add
\n" ); document.write( "12x=36
\n" ); document.write( "x=3
\n" ); document.write( "..
\n" ); document.write( "2c=9-2x=9-6=3
\n" ); document.write( "c=3/2=1.5
\n" ); document.write( "..
\n" ); document.write( "Matt's rowing speed=3 mph
\n" ); document.write( "speed of current=1.5 mph
\n" ); document.write( " \n" ); document.write( "

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