document.write( "Question 1101210: A tugboat can pull a boat 24 miles downstream in 2 hours. Going upstream, the tugboat can pull the same boat 16 miles in 2 hours. What is the speed of the tugboat still in the water? What is the speed of the current?
\n" ); document.write( "-How can you use the formula d=rt to help you solve the problem?
\n" ); document.write( "-How are the tugboat's speeds when traveling upstream and downstream related to its speed in sill water and the speed of the current? \n" ); document.write( "

Algebra.Com's Answer #715767 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "Let u be the speed of the tugboat in still water (in miles per hour).\r\n" );
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document.write( "Let v e the speed of the current.\r\n" );
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document.write( "Then the speed of the tugboat downstream is (u+v) miles per hour.\r\n" );
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document.write( "The speed of the tugboat upstream is (u-v)  miles per hour.\r\n" );
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document.write( "From the other side, the speed downstream is  = 12 mph.     (it is the formula D =R*T, written in the form  R =  )\r\n" );
document.write( "                                                               (Here R is the rate moving downstream.)\r\n" );
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document.write( "                     The speed   upstream is  = 8 hours.    (Again, it is the formula D =R*T, written in the form  R =  )\r\n" );
document.write( "                                                               (Here R is the rate moving upstream.)\r\n" );
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document.write( "So you have these two equations\r\n" );
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document.write( "u + v = 12,   (1)\r\n" );
document.write( "u - v =  8.   (2).\r\n" );
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document.write( "Add the two equations. You will get\r\n" );
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document.write( "2u = 12+8 = 20  ====>  u =  = 10.\r\n" );
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document.write( "It is the speed of the tugboat in still water.\r\n" );
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document.write( "Now the speed of the current, from the equation (1), is v = 12-u = 12 - 10 = 2 mph.\r\n" );
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document.write( "Answer.  The speed of the tugboat in still water is 10 mph.\r\n" );
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document.write( "         The speed of the current is  2 mph.\r\n" );
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\n" ); document.write( "It is a typical and standard Upstream and Downstream trip word problem.\r
\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.\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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