document.write( "Question 578229: Joe flew 300 miles with the wind in two hours. after flying agianst the wind for two hours, he had made 270 miles of the return trip. Find thw wind speed and the speed of the plane in still air. Please help me thank you so much! \n" ); document.write( "
Algebra.Com's Answer #370605 by ankor@dixie-net.com(22740)\"\" \"About 
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Joe flew 300 miles with the wind in two hours.
\n" ); document.write( " After flying against the wind for two hours, he had made 270 miles of the return trip.
\n" ); document.write( "Find the wind speed and the speed of the plane in still air.
\n" ); document.write( ":
\n" ); document.write( "Let s = the speed in still air
\n" ); document.write( "Let w = the speed of the wind
\n" ); document.write( "then
\n" ); document.write( "(s-w) = effective speed against the wind
\n" ); document.write( "and
\n" ); document.write( "(s+w) = effective speed with the wind
\n" ); document.write( ":
\n" ); document.write( "write a distance equation for each way (dist = time * effective speed)
\n" ); document.write( "2(s+w) = 300
\n" ); document.write( "2(s-w) = 270
\n" ); document.write( ":
\n" ); document.write( "Simplify both equations by dividing both sides by 2, results
\n" ); document.write( "s + w = 150
\n" ); document.write( "s - w = 135
\n" ); document.write( "--------------adding eliminates w, find s
\n" ); document.write( "2s = 285
\n" ); document.write( "s = 285/2
\n" ); document.write( "s = 142.5 mph, plane speed in still air
\n" ); document.write( ":
\n" ); document.write( "Find w
\n" ); document.write( "142.5 + w = 150
\n" ); document.write( "w = 150 - 142.5
\n" ); document.write( "w = 7.5 mph is the speed of the wind
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "YOu can check these solution yourself in the original equations \n" ); document.write( "
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