document.write( "Question 998846: On an upstream trip, a canoe travels 40 km in 5 hours. Downstream, it travels the same distance in half the time. What is the rate of the canoe in still water and the rate of the current? \n" ); document.write( "
Algebra.Com's Answer #616604 by ikleyn(52814)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "On an upstream trip, a canoe travels 40 km in 5 hours. Downstream, it travels the same distance in half the time. \n" ); document.write( "What is the rate of the canoe in still water and the rate of the current? \n" ); document.write( "-------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On an upstream trip, the canoe speed relative to the river banks is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This speed is the difference of the speed of canoe relative water, u, and the speed of current, v:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8 = u - v. (1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Downstream, the canoe speed relative to the river banks is twice more: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This speed is the sum of the speed of canoe relative water, u, and the speed of current, v:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 = u + v. (2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add (1) and (2). You will get \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2u = 8 + 16 = 24, hence, u = \n" ); document.write( "\n" ); document.write( "Then v = 4 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. The canoe speed in a still water is 12 \n" ); document.write( "\n" ); document.write( " The current speed is 4 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |