document.write( "Question 329661: One day last summer, Jim went kayaking on the Little Susitna River in Alaska. Paddling upstream against the current, he traveled 20 miles in 4 hours. Then he turned around and paddled twice as fast downstream and, with the help of the current, traveled 19 miles in 1 hour. Find the rate of the current.\r
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Algebra.Com's Answer #236348 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Paddling upstream against the current, he traveled 20 miles in 4 hours. \n" ); document.write( " Then he turned around and paddled twice as fast downstream and, with the help of the \n" ); document.write( " current, traveled 19 miles in 1 hour. \n" ); document.write( " Find the rate of the current. \n" ); document.write( ": \n" ); document.write( "Let s = normal speed in still water \n" ); document.write( "Let c = rate of the current \n" ); document.write( ": \n" ); document.write( "Find his actual speed going up stream \n" ); document.write( "20/4 = 5 mph upstream \n" ); document.write( "then \n" ); document.write( "(s - c) = 5 \n" ); document.write( "s = (c+5) \n" ); document.write( ": \n" ); document.write( "2s = fast speed down stream \n" ); document.write( ": \n" ); document.write( "Write a distance equation for downstream; dist = time * speed \n" ); document.write( "1(2s + c) = 19 \n" ); document.write( "2s + c = 19 \n" ); document.write( "Replace s with (c+5) \n" ); document.write( "2(c+5) + c = 19 \n" ); document.write( "2c + 10 + c = 19 \n" ); document.write( "2c + c = 19 = 10 \n" ); document.write( "3c = 9 \n" ); document.write( "c = 3 mph is the current \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the speed in still water \n" ); document.write( "s = 3 + 5 = 8 mph \n" ); document.write( "\"paddled twice as fast downstream and, with the help of the \n" ); document.write( " current, traveled 19 miles in 1 hour.\" \n" ); document.write( "2(8) + 3 = 19 \n" ); document.write( " \n" ); document.write( " |