document.write( "Question 913195: Chad paddles 55m/minute in still water. He paddles 150 m upstream and 150 m downstream in a total time of 5.5 minutes. What is the speed of the current? \n" ); document.write( "

Algebra.Com's Answer #554345 by lwsshak3(11628) $\"\"$ $\"About$

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Chad paddles 55m/minute in still water. He paddles 150 m upstream and 150 m downstream in a total time of 5.5 minutes. What is the speed of the current?
\n" ); document.write( "***
\n" ); document.write( "let c=speed of current
\n" ); document.write( "55+c=speed of boat downstream
\n" ); document.write( "55-c=speed of boat upstream
\n" ); document.write( "travel time=speed/distance
\n" ); document.write( "..
\n" ); document.write( " $\"150%2F%2855%2Bc%29%2B150%2F%2855-c%29=5.5\"$
\n" ); document.write( "lcd:(55+c)(55-c)
\n" ); document.write( "150(55-c)+150(55+c)=5.5(55+c)(55-c)
\n" ); document.write( "150*55-150c+150*55+150c=5.5(55^2-c^2)
\n" ); document.write( "16500=16637.5-5.5c^2
\n" ); document.write( "5.5c^2=137.5
\n" ); document.write( "c^2=25
\n" ); document.write( "c=ą√25
\n" ); document.write( "c=5
\n" ); document.write( "speed of the current=5 m/min \n" ); document.write( "

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