document.write( "Question 833843: A Piper Saratoga airplane leaves Philadelphia at noon, and flies in a
\n" ); document.write( "straight line toward Pittsburgh at a constant 150 mph. One hour later, a
\n" ); document.write( "Piper 6X plane leaves Pittsburgh and flies in a straight line toward
\n" ); document.write( "Philadelphia at a constant 120 mph. The distance between Philadelphia
\n" ); document.write( "and Pittsburgh is 310 miles.
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\n" ); document.write( "a. Calculate the time on a passenger's watch when the two planes pass
\n" ); document.write( "each other. \r
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Algebra.Com's Answer #502739 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Say the Piper Saratoga =PS
\n" ); document.write( "Say the Piper 6X =6X
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\n" ); document.write( "How far does PS fly in 1 hr?
\n" ); document.write( "\"+d%5BPS%5D+=+150%2A1+\"
\n" ); document.write( "\"+d%5BPS%5D+=+150+\" mi
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\n" ); document.write( "The distance between them is now
\n" ); document.write( "\"+310+-+150+=+160+\" mi
\n" ); document.write( "Let \"+d+\" = the distance PS travels
\n" ); document.write( "until they pass each other
\n" ); document.write( "\"+160+-+d+\" = distance 6X travels until they
\n" ); document.write( "pass each other
\n" ); document.write( "Let \"+t+\" = the time in hours from when
\n" ); document.write( "6X leaves Pittsburg until the pass each other
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\n" ); document.write( "PS equation:
\n" ); document.write( "(1) \"+d+=+150t+\"
\n" ); document.write( "6X equation:
\n" ); document.write( "(2) \"+160+-+d+=+120t+\"
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\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+160+-+150t+=+120t+\"
\n" ); document.write( "(2) \"+270t+=+160+\"
\n" ); document.write( "(2) \"+t+=+.5926+\" hrs
\n" ); document.write( "\"+.5926%2A60+=+35.555+\"
\n" ); document.write( "\"+.555%2A60+=+33.333+\"
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\n" ); document.write( "In minutes, \"+t+\" = 35 min 33 sec
\n" ); document.write( "This is the time after 1 PM, so the time
\n" ); document.write( "on a passenger's watch when they pass is
\n" ); document.write( "1:35:33 PM
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\n" ); document.write( "Check answer:
\n" ); document.write( "(1) \"+d+=+150t+\"
\n" ); document.write( "(1) \"+d+=+150%2A.5926+\"
\n" ); document.write( "(1) \"+d+=+88.889+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+160+-+d+=+120t+\"
\n" ); document.write( "(2) \"+160+-+d+=+120%2A.5926+\"
\n" ); document.write( "(2) \"+d+=+160+-+71.111+\"
\n" ); document.write( "(2) \"+d+=+88.889+\"
\n" ); document.write( "OK\r
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