document.write( "Question 125482: Either I missed something or the plane has lost distance.\r
\n" ); document.write( "\n" ); document.write( "A plane climbs into the jet stream which is flowing at a rate of 80 miles per hour. It travels with the jet stream for 5 hours and then reduces its altitude, flying out of the jet stream for 4 more hours. The plane, while out of the jet stream, covered 550 miles less than it did during the 5 hours it was in the jet stream. How fast was the plane flying out of the jet stream?
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Algebra.Com's Answer #91956 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"p\" = planes speed in still air
\n" ); document.write( "Let \"j\" = speed of jetstream
\n" ); document.write( "Let \"d%5B1%5D\" = distance travelled in jetstream
\n" ); document.write( "Let \"d%5B2%5D\" = distance travelled out of the jetstream
\n" ); document.write( "\"d%5B1%5D+=+%28r%5Bp%5D+%2B+r%5Bj%5D%29%2At%5B1%5D\" in the jetstream
\n" ); document.write( "\"d%5B1%5D+=+%28r%5Bp%5D+%2B+80%29%2A5\"
\n" ); document.write( "\"d%5B2%5D+=+r%5Bp%5D%2At%5B2%5D\" out of the jetstream
\n" ); document.write( "\"d%5B1%5D+-+550+=+r%5Bp%5D%2A4\"
\n" ); document.write( "\"d%5B1%5D+=+r%5Bp%5D%2A4+%2B+550\"
\n" ); document.write( "Set \"d%5B1%5D\" here equal to \"d%5B1%5D\" in the jetstream
\n" ); document.write( "\"r%5Bp%5D%2A4+%2B+550+=+%28r%5Bp%5D+%2B+80%29%2A5\"
\n" ); document.write( "\"r%5Bp%5D%2A4+%2B+550+=+r%5Bp%5D%2A5+%2B+400\"
\n" ); document.write( "\"r%5Bp%5D+=+150\" mi/hr out of the jetstream answer
\n" ); document.write( "check answer
\n" ); document.write( "\"d%5B1%5D+=+r%5Bp%5D%2A4+%2B+550\"
\n" ); document.write( "\"d%5B1%5D+=+150%2A4+%2B+550\"
\n" ); document.write( "\"d%5B1%5D+=+600+%2B+550\"
\n" ); document.write( "\"d%5B1%5D+=+1150\"
\n" ); document.write( "\"d%5B1%5D+=+%28r%5Bp%5D+%2B+80%29%2A5\"
\n" ); document.write( "\"1150+=+%28150+%2B+80%29%2A5\"
\n" ); document.write( "\"1150+=+230%2A5\"
\n" ); document.write( "\"1150+=+1150\"
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