document.write( "Question 1148597: A motorboat takes
\n" ); document.write( "5 hours to travel
\n" ); document.write( "100 miles going upstream. The return trip takes
\n" ); document.write( "2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #769943 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Let \"u\" be the rate of the boat in still water,\r\n" );
document.write( "\r\n" );
document.write( "and let \"v\" be the rate of the current.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then\r\n" );
document.write( "\r\n" );
document.write( "    u + v = \"100%2F2\" = 50 mph is the effective rate moving downstream, and\r\n" );
document.write( "\r\n" );
document.write( "    u - v = \"100%2F5\" = 20 mph is the effective rate moving upstream.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add the equations to get \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    2u = 50+20 = 70 mph,   u = 70/2 = 35 mph.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substitute the found value of \"u\" into the first equation to get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    v = 50 - 35 = 15 mph.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.   The rate of the motorboat in still water is 35 mph; the rate of the current is 15 mph.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a typical and standard Upstream and Downstream round trip word problem.\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them attentively and learn how to solve this type of problems once and for all.\r
\n" ); document.write( "
\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
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );