document.write( "Question 356149: a boat goes 14 km/h in still water. The boat is paddled 6 km downstream in a river in the same time it takes to go 3 km upstream. What is the speed of the river? \n" ); document.write( "

Algebra.Com's Answer #254229 by robertb(5830) $\"\"$ $\"About$

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let x = speed of the river. Then 14 + x = speed of boat relative to the river DOWNSTREAM, and 14 - x = speed of the boat relative to the river upstream.
\n" ); document.write( "Using the formula D = RT, and knowing the fact that the times upstream and downstream are the same, then
\n" ); document.write( " $\"6%2F%2814%2Bx%29+=+3%2F%2814-x%29\"$ ,
\n" ); document.write( " $\"6%2814-x%29=3%2814%2Bx%29\"$ ,
\n" ); document.write( " $\"84-6x+=+42%2B3x\"$ ,
\n" ); document.write( " $\"42+=+9x\"$ ,
\n" ); document.write( " $\"x+=+14%2F3\"$ km/hr, the speed of the river. \n" ); document.write( "

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