document.write( "Question 336593: A boat travels 12 km. upstream from town A to town B in 6 hours. The boat
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document.write( "then travels downstream from town B to town C, which is 8 km. further downstream
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document.write( "from A in 5 hours. What is the speed of the boat in still water? \n" );
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Algebra.Com's Answer #241255 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the speed of boat in still water be x km/h \n" ); document.write( "speed of current = y km/h\r \n" ); document.write( "\n" ); document.write( ".. \n" ); document.write( "distance =12 km \n" ); document.write( "speed = x-y \n" ); document.write( "time = 12/(x-y) \n" ); document.write( ".. \n" ); document.write( "downstream \n" ); document.write( "distance = 20km \n" ); document.write( "speed = x+y \n" ); document.write( "time = 20/x+y \n" ); document.write( ".. \n" ); document.write( "12/(x-y)= 6 \n" ); document.write( "20/(x+y)= 5 \n" ); document.write( "6x-6y=12 \n" ); document.write( "x-y=2..................1 \n" ); document.write( ".. \n" ); document.write( "5x+5y= 20 \n" ); document.write( "x+y=4..................2 \n" ); document.write( "add 1 & 2 \n" ); document.write( "2x=6 \n" ); document.write( "divide by 2 \n" ); document.write( "x=3 speed of boat in still water \n" ); document.write( "x-y=2 \n" ); document.write( "3-y=2 \n" ); document.write( "y=1 current speed \n" ); document.write( " \n" ); document.write( " |