document.write( "Question 1137361: A kayak can travel 30 miles downstream in 5 hours, while it would take 15 hours to make the same trip upstream. Find the speed of the kayak in still water, as well as the speed of the current. Let k represent the speed of the kayak in still water, and let c represent the speed of the current. \n" ); document.write( "

Algebra.Com's Answer #755236 by ikleyn(52855) $\"\"$ $\"About$

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document.write( "The speed of the kayak downstream,   = 6 miles per hour, is the sum  k + c.\r\n" );
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document.write( "The speed of the kayak upstream,   = 2 miles per hour, is the difference k - c.\r\n" );
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document.write( "So, you have these two equations\r\n" );
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document.write( "    k + c = 6,    (1)    and\r\n" );
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document.write( "    k - c = 2     (2)\r\n" );
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document.write( "Add the equation to eliminate \"c\" and to get  \r\n" );
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document.write( "    2k = 6 + 2 = 8,   k = 8/2 = 4 miles per hour.\r\n" );
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document.write( "Then from equation (1),  c = 6 - k = 6 - 4 = 2.\r\n" );
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document.write( "Answer.  Kayak speed in still water is 4 mph.  The speed of the current is  2 mph.\r\n" );
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document.write( "CHECK.  Check the solution on your own, by substituting the found values into the condition.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a typical and standard Upstream and Downstream round trip word problem.\r
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\n" ); document.write( "\n" ); document.write( "You can find many similar fully solved problems on upstream and downstream round trips with detailed solutions in lessons \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems \r
\n" ); document.write( "\n" ); document.write( "    - More problems on upstream and downstream round trips \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems solvable by quadratic equations \r
\n" ); document.write( "\n" ); document.write( "    - Unpowered raft floating downstream along a river\r
\n" ); document.write( "\n" ); document.write( "    - Selected problems from the archive on the boat floating Upstream and Downstream \r
\n" ); document.write( "\n" ); document.write( "in this site, where you will find other similar solved problems with detailed explanations.\r
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\n" ); document.write( "\n" ); document.write( "Read them attentively and learn how to solve this type of problems once and for all.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the section \"Word problems\", the topic \"Travel and Distance problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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