document.write( "Question 468676: A canoeist rows downstream in 1.5 hours and back upstream in 3 hours. What is the rate of the canoe if the distance rowed is 12 miles in each direction?
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Algebra.Com's Answer #321617 by mananth(16946) You can put this solution on YOUR website! speed of boat = xmph \n" ); document.write( "speed of current = y mph\r \n" ); document.write( "\n" ); document.write( "against current -------- 3.00 hours \n" ); document.write( "with current ------ 1.50 hours \n" ); document.write( " \n" ); document.write( "Distance = same= 12 \n" ); document.write( "Boat speed =x \n" ); document.write( "current speed =y \n" ); document.write( "t=d/r \n" ); document.write( "12 / ( x - y )= 3.00 \n" ); document.write( "3 ( x - y ) = 12.00 \n" ); document.write( "3 x -3 y = 12 ....................1 \n" ); document.write( "12 / ( x + y )= 1.50 \n" ); document.write( "1.50 ( x + y ) = 12 \n" ); document.write( "1.50 x + 1.50 y = 12 ...............2 \n" ); document.write( "Multiply (1) by 1.00 \n" ); document.write( "Multiply (2) by 2.00 \n" ); document.write( "we get \n" ); document.write( "3 x + -3 y = 12 \n" ); document.write( "3 x + 3 y = 24 \n" ); document.write( "6 x = 36 \n" ); document.write( "/ 6 \n" ); document.write( "x = 6 mph Boat speed \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |