document.write( "Question 136251This question is from textbook College Algebra
\n" ); document.write( ": Two planes leave Los Angeles at the same time. One heads south to San Diego; the other heads north to San Francisco. The San Francisco plane flies 50 mph faster. In 1/2 hr, the planes are 275 mi apart. What are their speeds? \n" ); document.write( "
Algebra.Com's Answer #99800 by josmiceli(19441)\"\" \"About 
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In all these type problems, the key usually lies in answering
\n" ); document.write( "the question \"What is the same for both (planes, cars, whatever)?
\n" ); document.write( "In this case it is time. They both fly for 1/2 hr.
\n" ); document.write( "Let \"d\" = the distance covered by the San Francisco plane in 1/2 hr
\n" ); document.write( "Then \"275+-+d\" will be the distance covered by the San Diago plane
\n" ); document.write( "\"s\" = the speed of the S.F. plane
\n" ); document.write( "\"s-50\" = the speed of the S.D. plane
\n" ); document.write( "For S.F. plane:
\n" ); document.write( "(1) \"d+=+s%2A%28.5%29\"
\n" ); document.write( "For S.D. plane:
\n" ); document.write( "(2)\"275+-+d+=+%28s-50%29%2A%28.5%29\"
\n" ); document.write( "Substitute \"d\" in (1) for \"d\" in (2)
\n" ); document.write( "\"275+-+.5s+=+.5%2A%28s+-+50%29\"
\n" ); document.write( "\"275+-+.5s+=+.5s+-+25\"
\n" ); document.write( "\"s+=+300\" mi/hr
\n" ); document.write( "\"s+-+50+=+250\"mi/hr
\n" ); document.write( "The speed of the San Francisco plane is 300 mi/hr
\n" ); document.write( "The speed of the San Diago plane is 250 mi/hr
\n" ); document.write( "Check answer:
\n" ); document.write( "For S.F. plane:
\n" ); document.write( "(1) \"d+=+s%2A%28.5%29\"
\n" ); document.write( "For S.D. plane:
\n" ); document.write( "(2)\"275+-+d+=+%28s-50%29%2A%28.5%29\"
\n" ); document.write( "\"d+=+.5%2A300\"
\n" ); document.write( "\"d+=+150\"
\n" ); document.write( "\"275+-+150+=+.5%2A%28300+-+50%29\"
\n" ); document.write( "\"125+=+125\"
\n" ); document.write( "OK \r
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