document.write( "Question 743918: Flying with the wind, a plane traveled 510 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind. \n" ); document.write( "

Algebra.Com's Answer #453099 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+p+\"$ = the speed of the plane in still air in mi/hr
\n" ); document.write( "Let $\"+w+\"$ = the speed of the wind in mi/hr
\n" ); document.write( " $\"+p+%2B+w+\"$ = plane's speed flying with the wind in mi/hr
\n" ); document.write( " $\"+p+-+w+\"$ = plane's speed flying against the wind in mi/hr
\n" ); document.write( "--------------------
\n" ); document.write( "Flying with the wind:
\n" ); document.write( "(1) $\"+510+=+%28+p+%2B+w+%29%2A3+\"$
\n" ); document.write( "Flying against the wind:
\n" ); document.write( "(2) $\"+510+=+%28+p+-+w+%29%2A5+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(1) $\"+3p+%2B+3w+=+510+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+5p+-+5w+=+510+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "(1) $\"+p+%2B+w+=+170+\"$
\n" ); document.write( "(2) $\"+p+-+w+=+102+\"$
\n" ); document.write( "Add the equations
\n" ); document.write( " $\"+2p+=+272+\"$
\n" ); document.write( " $\"+p+=+136+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+136+%2B+w+=+170+\"$
\n" ); document.write( "(1) $\"+w+=+34+\"$
\n" ); document.write( "The rate of the plane in calm air is 136 mi/hr
\n" ); document.write( "The rate of the wind is 34 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+136+-+34+=+102+\"$
\n" ); document.write( "(2) $\"+102+=+102+\"$
\n" ); document.write( "OK\r
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