document.write( "Question 167243: flying against the jetstream, a jet travels 5250km in 7hours. Flying with the jetstream the same jet travels 6900km in 6hrs. what is the speed of the jet in still air, and what is the speed of the jetstream? \n" ); document.write( "
Algebra.Com's Answer #123172 by josmiceli(19441)\"\" \"About 
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Let speed of jetstream = \"s\" km/hr
\n" ); document.write( "Let the speed of the plane in still air = \"p\" km/hr
\n" ); document.write( "\"d%5B1%5D+=+r%5B1%5D%2At%5B1%5D\"
\n" ); document.write( "(1) \"5250+=+%28p+-+s%29%2A7\"
\n" ); document.write( "\"d%5B2%5D+=+r%5B2%5D%2At%5B2%5D\"
\n" ); document.write( "(2) \"6900+=+%28p+%2B+s%29%2A6\"
\n" ); document.write( "There are 2 equations and 2 unknowns, so I should
\n" ); document.write( "be able to solve
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) \"5250+=+%28p+-+s%29%2A7\"
\n" ); document.write( "(1) \"5250+=+7p+-+7s\"
\n" ); document.write( "(2) \"6900+=+%28p+%2B+s%29%2A6\"
\n" ); document.write( "(2) \"6900+=+6p+%2B+6s\"
\n" ); document.write( "Divide both sides of (1) by \"7\" and
\n" ); document.write( "divide both sides of (2) by \"6\"
\n" ); document.write( "(1) \"750+=+p+-+s\"
\n" ); document.write( "(2) \"1150+=+p+%2B+s\"
\n" ); document.write( "Add the equations
\n" ); document.write( "\"1900+=+2p\"
\n" ); document.write( "\"p+=+950\"
\n" ); document.write( "And, substituting back into (1)
\n" ); document.write( "(1) \"750+=+p+-+s\"
\n" ); document.write( "(1) \"750+=+950+-+s\"
\n" ); document.write( "\"s+=+200\"
\n" ); document.write( "The speed of the jet in still air is 950 km/hr
\n" ); document.write( "The speed of the jetstream is 200 km/hr
\n" ); document.write( "-------------
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"5250+=+%28p+-+s%29%2A7\"
\n" ); document.write( "(1) \"5250+=+%28950+-+200%29%2A7\"
\n" ); document.write( "\"5250+=+750%2A7\"
\n" ); document.write( "\"5250+=+5250\"
\n" ); document.write( "(2) \"6900+=+%28p+%2B+s%29%2A6\"
\n" ); document.write( "(2) \"6900+=+%28950+%2B+200%29%2A6\"
\n" ); document.write( "\"6900+=+6900\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
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