document.write( "Question 621179: A plane leaves Chicago headed for Los Angeles at 590 mph. One hour later, a second plane leaves Los Angeles headed for Chicago at 660 mph. If the air route from Chicago to Los Angeles is 1800 miles, how long will it take (after the first plane takes off) for the first plane to pass the second plane? (Round your answer to two decimal places.)
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #390607 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The first thing is: how much of a head start does
\n" ); document.write( "the 1st plane get?
\n" ); document.write( " $\"+d%5B1%5D+=+590%2A1+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+590+\"$ mi
\n" ); document.write( "----------------
\n" ); document.write( "Let $\"+d+\"$ = distance the 2nd plane has to travel
\n" ); document.write( "until the 1st plane passes it.
\n" ); document.write( " $\"+1800+-+d+\"$ is the distance the 1st plane travels
\n" ); document.write( "until it passes the 2nd plane
\n" ); document.write( "Let $\"t\"$ = the time from when the 2nd plane
\n" ); document.write( "takes off until they meet
\n" ); document.write( "----------------
\n" ); document.write( "Equation for 1st plane
\n" ); document.write( "(1) $\"+1800+-+d+-+590+=+590t+\"$
\n" ); document.write( "Equation for 2nd plane
\n" ); document.write( "(2) $\"+d+=+660t+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+1800+-+660t+-+590+=+590t+\"$
\n" ); document.write( "(1) $\"+1250t+=+1210+\"$
\n" ); document.write( "(1) $\"+t+=+.968+\"$ hrs
\n" ); document.write( "And, the times from when the 1st plane takes off
\n" ); document.write( "until they meet is $\"+1+%2B+.97+\"$
\n" ); document.write( "1.97 hours \n" ); document.write( "

\n" );