document.write( "Question 284253: with the current, joe can row a canoe 3 miles in 12 mins. Against the current, he requires 18 minutes to row same distance. HOw fast does joe row in still water, and how fast is the current? \n" ); document.write( "
Algebra.Com's Answer #206248 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Let x = Joe's speed in still water\r \n" ); document.write( "\n" ); document.write( "Let y = speed of current\r \n" ); document.write( "\n" ); document.write( "Since there are two things we are solving for, we are looking at a system of linear equations in two variables.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Against Current:\r \n" ); document.write( "\n" ); document.write( "rate = x - y\r \n" ); document.write( "\n" ); document.write( "time = 0.20\r \n" ); document.write( "\n" ); document.write( "distance = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.20(x - y) = 3\r \n" ); document.write( "\n" ); document.write( "0.20x - 0.20y = 3...This is our first equation.\r \n" ); document.write( "\n" ); document.write( "===============================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "With Current:\r \n" ); document.write( "\n" ); document.write( "rate = x + y\r \n" ); document.write( "\n" ); document.write( "time = 0.30\r \n" ); document.write( "\n" ); document.write( "distance = 3\r \n" ); document.write( "\n" ); document.write( "0.30(x + y) = 3\r \n" ); document.write( "\n" ); document.write( "0.30x + 0.30y = 3...This is our second equation.\r \n" ); document.write( "\n" ); document.write( "================================================\r \n" ); document.write( "\n" ); document.write( "Here they are together:\r \n" ); document.write( "\n" ); document.write( "0.20x - 0.20y = 3 \n" ); document.write( "0.30x + 0.30y = 3\r \n" ); document.write( "\n" ); document.write( "Can you finish now? \n" ); document.write( " |