document.write( "Question 509241: A private plan leaves an airport and flies due east at 192 miles per hour. Two hours later, a jet leaves the same airport and flies due east at 960 miles per hour. How far will the private plan fly before it is passed by the jet? \n" ); document.write( "

Algebra.Com's Answer #341354 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
How much of a head start does the private plane get?
\n" ); document.write( " $\"+d%5B1%5D+=+192%2A2+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+384+\"$ mi
\n" ); document.write( "---------------
\n" ); document.write( "Now start a stopwatch when the jet leaves
\n" ); document.write( "For the jet:
\n" ); document.write( "(1) $\"+d+=+960t+\"$
\n" ); document.write( "For the private plane:
\n" ); document.write( "(2) $\"+d+-+384+=+192t+\"$
\n" ); document.write( "( Note that $\"t\"$ is the same for both,
\n" ); document.write( "since they are both on the stopwatch now )
\n" ); document.write( "---------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( " $\"+960t+-+384+=+192t+\"$
\n" ); document.write( " $\"+768t+=+384+\"$
\n" ); document.write( " $\"+t+=+.5+\"$ hrs
\n" ); document.write( "The private plane is passed by the jet in 1/2 hr
\n" ); document.write( " \n" ); document.write( "

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