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the jones family drove to Disneyland at 50mph and returned on the same route at 40mph. Find the distance to Disneyland if the total driving time was 7.2hrs.
\n" ); document.write( "Distance(d)=rate(r)*time(t) -->d=rt
\n" ); document.write( "The distance to Disneyland is the same as the distance from Disneyland.
\n" ); document.write( ":
\n" ); document.write( "The rate to Disney is: 50mph
\n" ); document.write( "The time to disney is:t
\n" ); document.write( "Therefore the distance to Disney is: 50t
\n" ); document.write( ":
\n" ); document.write( "The rate from Disney is: 40mph
\n" ); document.write( "the time is the rest of the 7.2 hours of time not going to Disney: 7.2-t
\n" ); document.write( "Therefore, the distance from Disney is:40(7.2-t)
\n" ); document.write( ":
\n" ); document.write( "Since the two distances are equal:
\n" ); document.write( "50t=40(7.2-t)
\n" ); document.write( "50t=288-40t
\n" ); document.write( "50t+40t=288-40t+40t
\n" ); document.write( "90t=288
\n" ); document.write( "90t/90=288/90
\n" ); document.write( "t=3.2 hr
\n" ); document.write( ":
\n" ); document.write( "To find the distance, substitute t=3.2 into the distance to Disney equation of 50t:
\n" ); document.write( "d=50(3.2)=160 mi.
\n" ); document.write( ":
\n" ); document.write( "As a safety check, you can substitute t=3.2 into the distance from Disney equation and see if you still get 160:
\n" ); document.write( "d=40(7.2-3.2)
\n" ); document.write( "d=40(4)=160 mi. It looks as if we're on the right track.
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "