document.write( "Question 1167546: It takes an airplane 4 hours to travel 1000 miles with a tail wind. It takes the plane 5 hours to make the return trip against the wind? What is the speed of the plane and the wind? \n" ); document.write( "

Algebra.Com's Answer #792148 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 speed of the plane at no wind, and let v be the speed of the wind.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The effective speed with the wind\r\n" );
document.write( "\r\n" );
document.write( "    u + v = 1000/4 = 250 mph    (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The effective speed against the wind\r\n" );
document.write( "\r\n" );
document.write( "    u - v = 1000/5 = 200 mph    (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add equations (1) and (2)\r\n" );
document.write( "\r\n" );
document.write( "    2u = 450\r\n" );
document.write( "\r\n" );
document.write( "     u = 450/2 = 225 mph\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Next, from equation (1)\r\n" );
document.write( "\r\n" );
document.write( "     v = 250 - 225 = 25 mph.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.   The speed of the plane at no wind is 225 mph.\r\n" );
document.write( "\r\n" );
document.write( "          The speed of the wind is 25 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 \"tailwind and headwind\" word problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "See the lessons \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems solvable by quadratic equations \r
\n" ); document.write( "\n" ); document.write( "    - Selected problems from the archive on a plane flying with and against the wind \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( "\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" ); document.write( "

\n" );