document.write( "Question 46652: Show a complete solution to each problem.
\n" ); document.write( "Big Plane. A six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind then what is the wind speed?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #30897 by adamchapman(301)\"\" \"About 
You can put this solution on YOUR website!
Finally, a question about aeroplanes!\r
\n" ); document.write( "\n" ); document.write( "Let the windspeed be called \"w\" and the time taken be called \"t\".
\n" ); document.write( "We know that the time taken for the plane to cover a certain distance is equal to its speed divided by that distance.
\n" ); document.write( "We can now write two equations:
\n" ); document.write( "\"%28180%2Bw%29%2F7=t\" (with the wind)
\n" ); document.write( "\"%28180-w%29%2F5=t\" (against the wind)
\n" ); document.write( "Notice how both equations are equal to \"t\". This means we can say:
\n" ); document.write( "\"%28180%2Bw%29%2F7=%28180-w%29%2F5\"
\n" ); document.write( "Now rearrange to find \"w\":
\n" ); document.write( "\"5%28180%2Bw%29=7%28180-w%29\"
\n" ); document.write( "\"900%2B5w=1260-7w\"
\n" ); document.write( "\"12w=360\"
\n" ); document.write( "\"w=360%2F12=30\"
\n" ); document.write( "So the wind speed is 30mph.
\n" ); document.write( "I hope this helps,
\n" ); document.write( "Adam.
\n" ); document.write( "P.S. please visit mt website, it might be useful to you. The address is http://www.geocities.com/quibowibbler\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );