document.write( "Question 998915: you are going on a canoe trip. you go downstream 15 miles in three hours. the trip back to your car takes 5 hours. how fast are you paddling in still water and how fast is the current? \n" ); document.write( "
Algebra.Com's Answer #616667 by mananth(16946)![]() ![]() You can put this solution on YOUR website! canoe speed =x mph \n" ); document.write( "current speed =y mph \n" ); document.write( "against current 5 hours \n" ); document.write( "with current 3 hours \n" ); document.write( " \n" ); document.write( "Distance against 15 miles distance with 15 miles \n" ); document.write( "t=d/r against current - \n" ); document.write( "15 / ( x - y )= 5 \n" ); document.write( "5 ( x - y ) = 15 \n" ); document.write( "5 x - 5 y = 15 ....................1 \n" ); document.write( " \n" ); document.write( "15 / ( x + y )= 3.00 \n" ); document.write( "3.00 ( x + y ) = 15 \n" ); document.write( "3.00 x + 3.00 y = 15 ...............2 \n" ); document.write( "Multiply (1) by 5 \n" ); document.write( "Multiply (2) by 3 \n" ); document.write( "we get \n" ); document.write( "25.00 x + -25 y = 75 \n" ); document.write( "9.00 x + 9 y = 45 \n" ); document.write( "34 x = 120 \n" ); document.write( "/ 34 \n" ); document.write( "x = 4 mph \n" ); document.write( " \n" ); document.write( "plug value of x in (1) \n" ); document.write( "5 x -5 y = 15 \n" ); document.write( "18 -5 y = 15 \n" ); document.write( "-5 y = 15 -18 \n" ); document.write( "-5 y = -3 mph \n" ); document.write( " y = 1 \n" ); document.write( "canoe speed 4 mph \n" ); document.write( "current speed 1 mph \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |