document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091713>Question 1091713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)The senior classes at High School A and High School B planned separate trips to the local<BR>\n" );
document.write( "amusement park. The senior class at High School A rented and filled 2 vans and 12 buses with 520<BR>\n" );
document.write( "students. High School B rented and filled 13 vans and 3 buses with 230 students. Every van had the<BR>\n" );
document.write( "same number of students in it as did the buses. How many students can a van carry? How many<BR>\n" );
document.write( "students can a bus carry?\r<BR>\n" );
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document.write( "2)Sumalee's school is selling tickets to a spring musical. On the first day of ticket sales the school sold<BR>\n" );
document.write( "6 adult tickets and 1 student ticket for a total of $23. The school took in $106 on the second day by<BR>\n" );
document.write( "selling 12 adult tickets and 14 student tickets. Find the price of an adult ticket and the price of a<BR>\n" );
document.write( "student ticket.\r<BR>\n" );
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document.write( "3)A boat traveled 60 miles downstream and back. The trip downstream took 3 hours. The trip back<BR>\n" );
document.write( "took 6 hours. Find the speed of the boat in still water and the speed of the current.\r<BR>\n" );
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document.write( "4)The school that Carlos goes to is selling tickets to a choral performance. On the first day of ticket<BR>\n" );
document.write( "sales the school sold 14 senior citizen tickets and 6 student tickets for a total of $180. The school<BR>\n" );
document.write( "took in $117 on the second day by selling 12 senior citizen tickets and 1 student ticket. Find the<BR>\n" );
document.write( "price of a senior citizen ticket and the price of a  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706158 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52834)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The rule of this forum is <U>ONE PROBLEM per post/ONE QUESTION per post</U>.\r<BR>\n" );
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document.write( "So, I will solve only one problem for you.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3) A boat traveled 60 miles downstream and back. The trip downstream took 3 hours. The trip back\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;took 6 hours. Find the speed of the boat in still water and the speed of the current. \r<BR>\n" );
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document.write( "Let u be the boat speed in still water (in miles per hour, mph), and\r\n" );
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document.write( "let v be the current speed.\r\n" );
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document.write( "The effective speed of the boat moving downstream is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F3 ALIGN=MIDDLE  ALT=\"60%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20 miles per hour.\r\n" );
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document.write( "This speed is the sum of the boat speed in still water and the current speed.\r\n" );
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document.write( "So, you have your first equation\r\n" );
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document.write( "u + v = 20     (1)    for the effective speed downstream.\r\n" );
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document.write( "The effective speed of the boat moving upstream is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F6 ALIGN=MIDDLE  ALT=\"60%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10 miles per hour.\r\n" );
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document.write( "This speed is the difference of the boat speed in still water and the current speed.\r\n" );
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document.write( "So, you have your second equation\r\n" );
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document.write( "u - v = 10     (2)    for the effective speed upstream.\r\n" );
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document.write( "Thus you have this system of two equations in two unknowns\r\n" );
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document.write( "u + v = 20     (1)\r\n" );
document.write( "u - v = 10     (2)\r\n" );
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document.write( "It is very special system, and it allows very special and very easy solution.\r\n" );
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document.write( "Add the two equations (1) and (2). You will get\r\n" );
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document.write( "2u = 20 + 10 = 30  ====>  u = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F2 ALIGN=MIDDLE  ALT=\"30%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 15 mph.\r\n" );
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document.write( "Thus you just found the speed of the boat in still water It is 15 mph.\r\n" );
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document.write( "Then from (1), the current speed is  v = 20 - u = 20 - 15 = 5 mph.\r\n" );
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document.write( "<U>Answer</U>.  The speed of the boat in still water It is 15 mph.\r\n" );
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document.write( "         The current speed is  v = 20 - u = 20 - 15 = 5 mph.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "You can check the solution on your own.\r<BR>\n" );
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document.write( "It is a typical and standard Upstream and Downstream round trip word problem.\r<BR>\n" );
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document.write( "You can find many similar fully solved problems on upstream and downstream round trips with detailed solutions in lessons \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/travel/Wind-and-Current-problems.lesson>Wind and Current problems</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/travel/More-problems-on-upstream-and-downstream-round-trips.lesson>More problems on upstream and downstream round trips</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/travel/Wind-and-Current-problems-solvable-by-quadratic-equations.lesson>Wind and Current problems solvable by quadratic equations</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/travel/Unpowered-raft-moving-downstream-along-a-river.lesson>Unpowered raft floating downstream along a river</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/travel/Selected-problems-from-the-archive-on-a-boat-floating-Upstream-and-Downstream.lesson>Selected problems from the archive on the boat floating Upstream and Downstream</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Read them attentively and learn how to solve this type of problems once and for all.\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this textbook under the section \"<U>Word problems</U>\", &nbsp;the topic \"<U>Travel and Distance problems</U>\".\r<BR>\n" );
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document.write( "<U>Comment from student</U>: Sorry, I wasnt sure about the amount of questions per post, thank you though.\r<BR>\n" );
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document.write( "<U>My response</U>. I can not accept such \"Thank you\" in the form \"thank you though.\"\r<BR>\n" );
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