document.write( "Question 203473This question is from textbook
\n" );
document.write( ": Big plane. A six-passenger plane cruises at 180 mph in
\n" );
document.write( "calm air. If the plane flies 7 miles with the wind in the
\n" );
document.write( "same amount of time as it flies 5 miles against the wind,
\n" );
document.write( "then what is the wind speed? \n" );
document.write( "
Algebra.Com's Answer #153507 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A six-passenger plane cruises at 180 mph in calm air. \n" ); document.write( " If the plane flies 7 miles with the wind in the same amount of time \n" ); document.write( " as it flies 5 miles against the wind, then what is the wind speed? \n" ); document.write( ": \n" ); document.write( "Let w = speed of the wind \n" ); document.write( "then \n" ); document.write( "(180+w) = plane speed with the wind \n" ); document.write( "and \n" ); document.write( "(180-w) = plane speed against the wind \n" ); document.write( ": \n" ); document.write( "The time of the two trips is equal, write a time equation \n" ); document.write( "Time = \n" ); document.write( ": \n" ); document.write( "7 mi time = 5 mi time \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "7(180-w) = 5(180+w) \n" ); document.write( ": \n" ); document.write( "1260 - 7w = 900 + 5w \n" ); document.write( ": \n" ); document.write( "1260 - 900 = 5w + 7w \n" ); document.write( ": \n" ); document.write( "360 = 12w \n" ); document.write( "w = \n" ); document.write( "w = 30 mph is the speed of the wind \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the times, are they equal(210 with, 150 against) \n" ); document.write( "7/210 = .033 \n" ); document.write( "5/150 = .033 \n" ); document.write( " |