document.write( "Question 1148620: ronald can row 24 miles in 3 hours when he rows with the current. against the same current, ronald can now only 2/3 of this distance in 4 hours. find the rate of the current (use 2 variables, thanks!) \n" ); document.write( "

Algebra.Com's Answer #769970 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let u be the rate of rowing in still water and v be the rate of the current.\r\n" );
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document.write( "Then the effective rate downstream is\r\n" );
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document.write( "    u + v =  = 8  miles per hour.     (1)\r\n" );
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document.write( "while the effective rate upstream is\r\n" );
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document.write( "    u - v =  = 4  miles per hours.    (2)   (Notice 16 is 2/3 of 24 miles)\r\n" );
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document.write( "Now subtract equation (2) from equation (1).\r\n" );
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document.write( "You will get\r\n" );
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document.write( "    2v = 8 - 4 = 4\r\n" );
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document.write( "     v         = 4/2 = 2 miles per hour.\r\n" );
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document.write( "ANSWER.  The rate of the current is  2 miles per hour.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved using 2 variables, as it was requested.\r
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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( "\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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