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)\"\" \"About 
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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.
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\n" ); document.write( "Let s = normal speed in still water
\n" ); document.write( "Let c = rate of the current
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\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)
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\n" ); document.write( "2s = fast speed down stream
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\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
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\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
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