document.write( "Question 936377: A canoe took 3 hours to travel up stream and 2 hours to travel the same distance down stream. If the distance was 12 miles each way, what was the speed of the current? \n" ); document.write( "

Algebra.Com's Answer #569816 by mananth(16946) $\"\"$ $\"About$

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A canoe took 3 hours to travel up stream and 2 hours to travel the same distance down stream. If the distance was 12 miles each way, what was the speed of the current? \r
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\n" ); document.write( "\n" ); document.write( "let speed of canoe in still water be x mph
\n" ); document.write( "speed of current be y mph\r
\n" ); document.write( "\n" ); document.write( "upstream speed = (x-y) mph
\n" ); document.write( "down stream speed = (x+y) mph\r
\n" ); document.write( "\n" ); document.write( "t=d/r\r
\n" ); document.write( "\n" ); document.write( "time upstream = 12/(x-y) = 3
\n" ); document.write( "3x-3y=12
\n" ); document.write( "x-y =4....................(1)\r
\n" ); document.write( "\n" ); document.write( "time downstream = 12/(x+y) =2\r
\n" ); document.write( "\n" ); document.write( "2x+2y=12
\n" ); document.write( "x+y=6.........................(2)
\n" ); document.write( "solve (1) & (2)
\n" ); document.write( "2x=10
\n" ); document.write( "/2
\n" ); document.write( "x=5 mph\r
\n" ); document.write( "\n" ); document.write( "x-y=4
\n" ); document.write( "therefore y =1 mph rate of current \n" ); document.write( "

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