document.write( "Question 214875: A car leaves Oak Corners at 11:30 AM traveling south at 60 mph. At the same time, another car is 50 miles west of Oak Corners traveling east at 40 mph. Express the distance d between the cars as a function of the time t after the first car left Oak Corners. \n" ); document.write( "
Algebra.Com's Answer #162373 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The car going south has \"d%5B1%5D+=+60t\" mi From Oak Corners
\n" ); document.write( "where \"t\" is in hours and \"d\" is in miles
\n" ); document.write( "The car going east is \"d%5B2%5D+=+50+-+40t\" mi from Oak Corners
\n" ); document.write( "The distance between the cars is:
\n" ); document.write( "\"d%5E2+=+%2860t%29%5E2+%2B+%2850+-+40t%29%5E2\"
\n" ); document.write( "\"d%5E2+=+3600t%5E2+%2B+2500+-+4000t+%2B+1600t%5E2\"
\n" ); document.write( "\"d%5E2+=+5200t%5E2+-+4000t+%2B+2500\"
\n" ); document.write( "\"d+=+sqrt%285200t%5E2+-+4000t+%2B+2500%29\" answer
\n" ); document.write( "check:
\n" ); document.write( "In 3 hrs, the car going south has gone:
\n" ); document.write( "\"d%5B1%5D+=+60%2A3\"
\n" ); document.write( "\"d%5B1%5D+=+180\" mi
\n" ); document.write( "In 3 hrs the car going east is
\n" ); document.write( "\"d%5B2%5D+=+50+-+40%2A3\"
\n" ); document.write( "\"d%5B2%5D+=+-70\" mi from Oak Corners (It's East of it)
\n" ); document.write( "\"d+=+sqrt%28180%5E2+%2B+70%5E2%29\"
\n" ); document.write( "\"d+=+sqrt%2832400+%2B+4900%29\"
\n" ); document.write( "\"d+=+sqrt%2837300%29\"
\n" ); document.write( "\"d+=+193.132\" mi
\n" ); document.write( "and
\n" ); document.write( "\"d+=+sqrt%285200t%5E2+-+4000t+%2B+2500%29\"
\n" ); document.write( "\"d+=+sqrt%285200%2A3%5E2+-+4000%2A3+%2B+2500%29\"
\n" ); document.write( "\"d+=+sqrt%2846800+-+12000+%2B+2500%29\"
\n" ); document.write( "\"d+=+sqrt%2846800+-+9500%29\"
\n" ); document.write( "\"d+=+sqrt%2837300%29\"
\n" ); document.write( "\"d+=+193.132\"
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );