document.write( "Question 1096053: A plane ride to Johns house took 5 hours. On the return trip, a wind gust of 125 mi/he decreased the flying time by 1.25 hrs. What was the speed of the plane on the return trip?
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Algebra.Com's Answer #710526 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the one-way distance
\n" ); document.write( "Let $\"+s+\"$ = the speed to his house
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\n" ); document.write( "For the trip to his house:
\n" ); document.write( "(1) $\"+d+=+s%2A5+\"$
\n" ); document.write( "For return trip:
\n" ); document.write( "(2) $\"+d+=+%28+s+%2B+125+%29%2A%28+5+-+1.25+%29+\"$
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\n" ); document.write( "(2) $\"+d+=+%28+s+%2B+125+%29%2A3.75+\"$
\n" ); document.write( "(2) $\"+d+=+3.75s+%2B+468.75+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+5s+\"$
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) $\"+5s+=+3.75s+%2B+468.75+\"$
\n" ); document.write( "(2) $\"+1.25s+=+468.75+\"$
\n" ); document.write( "(2) $\"+s+=+375+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+s+%2B+125+=+375+%2B+125+\"$
\n" ); document.write( " $\"+s+%2B+125+=+500+\"$
\n" ); document.write( "The speed on the return trip was 500 mi/hr
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\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+=+5%2A375+\"$
\n" ); document.write( "(1) $\"+d+=+1875+\"$ mi
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+=+%28+s+%2B+125+%29%2A%28+5+-+1.25+%29+\"$
\n" ); document.write( "(2) $\"+d+=+500%2A3.75+\"$
\n" ); document.write( "(2) $\"+d+=+1875+\"$ mi
\n" ); document.write( "OK \n" ); document.write( "

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