document.write( "Question 1165512: 9. At noon, Shelby leaves her house and drives 50
\n" ); document.write( "mph to her grandmother’s house. Her brother,
\n" ); document.write( "Swayze, leaves at 12:30 P.M. and drives
\n" ); document.write( "55 mph. What is the maximum length of time
\n" ); document.write( "after Shelby leaves that Shelby is at least
\n" ); document.write( "15 miles ahead of Swayze?
\n" ); document.write( "

Algebra.Com's Answer #790017 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
Brother starts off 25 miles behind, which is a half hour at 50 mph.
\n" ); document.write( "He drives 5 mph faster, so he is closing the gap at 5 mph.
\n" ); document.write( "After two hours he will be 15 miles behind, since he will have gained 10 miles
\n" ); document.write( "The maximum length of time after Shelby leaves that she is at least 15 miles ahead ENDS at 2:30 pm.
\n" ); document.write( "It began after she was 15 miles away.
\n" ); document.write( "50 mph is 5/6 mile per minute
\n" ); document.write( "15/(5/6)=18 minutes to go 15 miles at that speed.
\n" ); document.write( "So the maximum length of time is from 12:18 pm to 2:30 pm or 2h12 m.
\n" ); document.write( "
\n" );