document.write( "Question 575446: Please help me solve this word problem. I know the basic formula is rt=d but i don't know how to apply the words to the formula to solve.
\n" ); document.write( "Joe flew 300 miles with the wind in two hours. After flying against the wind for two hours, he made 270 miles of the return trip. Find the wind speed and the speed of the plane in still air.
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Algebra.Com's Answer #369474 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+w+\" = the wind speed
\n" ); document.write( "Let \"+p+\" = the speed of the plane in still air
\n" ); document.write( "\"+p+%2B+w+\" = speed of plane flying with the wind
\n" ); document.write( "\"+p+-+w+\" = speed of plane flying against the wind
\n" ); document.write( "---------
\n" ); document.write( "given:
\n" ); document.write( "Equation flying with the wind:
\n" ); document.write( "(1) \"+300+=+%28+p+%2B+w+%29%2A2+\"
\n" ); document.write( "Equation flying against the wind:
\n" ); document.write( "(2) \"+270+=+%28+p+-+w+%29%2A2+\"
\n" ); document.write( "------------------
\n" ); document.write( "Add the equations:
\n" ); document.write( "(1) \"+2p+%2B+2w+=+300+\"
\n" ); document.write( "(2) \"+2p+-+2w+=+270+\"
\n" ); document.write( "\"+4p+=+570+\"
\n" ); document.write( "\"+p+=+142.5+\"
\n" ); document.write( "Plug this back into either equation
\n" ); document.write( "(1) \"+2p+%2B+2w+=+300+\"
\n" ); document.write( "(1) \"+p+%2B+w+=+150+\"
\n" ); document.write( "(1) \"+142.5+%2B+w+=+150+\"
\n" ); document.write( "(1) \"+w+=+7.5+\"
\n" ); document.write( "The speed of plane in still air is 142.5 mi/hr
\n" ); document.write( "The wind speed is 7.5 mi/hr
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+300+=+%28+p+%2B+w+%29%2A2+\"
\n" ); document.write( "(1) \"+300+=+%28+142.5+%2B+7.5+%29%2A2+\"
\n" ); document.write( "(1) \"+300+=+150%2A2+\"
\n" ); document.write( "(1) \"+300+=+300+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+270+=+%28+p+-+w+%29%2A2+\"
\n" ); document.write( "(2) \"+270+=+%28+142.5+-+7.5+%29%2A2+\"
\n" ); document.write( "(2) \"+270+=+135%2A2+\"
\n" ); document.write( "(2) \"+270+=+270+\"
\n" ); document.write( "
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