document.write( "Question 142586: An airplane flies 900 miles against the wind and 1200 miles with the wind in a total time of 15 hours. The speed of the airplane in still air is 150 mph. What is the speed of the wind? \n" ); document.write( "
Algebra.Com's Answer #103786 by vleith(2983)\"\" \"About 
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Distance = velocity * time.\r
\n" ); document.write( "\n" ); document.write( "total time = 15 hours.
\n" ); document.write( "Distance against wind, 900 miles
\n" ); document.write( "Distance with wind, 1200 miles
\n" ); document.write( "Ground speed, 150 mph. \r
\n" ); document.write( "\n" ); document.write( "Let the wind speed be w.
\n" ); document.write( "Let the time flow against the wind be t. that means the time flown with the wind is \"15+-+t\"\r
\n" ); document.write( "\n" ); document.write( "Construct two equations, as follows.
\n" ); document.write( "Against wind
\n" ); document.write( "\"900+=+%28150+-+w%29+%2A+t\"
\n" ); document.write( "\"900%2F%28150-w%29+=+t\" <--- use this later\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "With wind:
\n" ); document.write( "\"1200+=+%28150+%2B+w%29+%2A+%2815-t%29\"
\n" ); document.write( "\"1200+=+2250+%2B+15w+-+150t+-+wt\"
\n" ); document.write( "\"-1050+=+15w+-+150t+-+wt\"\r
\n" ); document.write( "\n" ); document.write( "Use the value for t from above.
\n" ); document.write( "Substitute that t in the last equation and solve for w. There will be two answers, pck the one that 'makes sense'.
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