Kay and Larry race around a running track. Kay runs at a constant rate of one lap every 9 minutes and Larry runs at a constant rate of one lap every 11 minutes. If they both start at the same time, how many minutes will it take for Kay to get exactly one lap ahead of Larry?  Choose the correct choice
A) 41.5
B) 43.5
C) 45.5
D) 47.5
E) 49.5
Let x be the number of minutes it takes for Kay to get one lap ahead.   Then Kay ran x/9 laps and Larry ran x/11 laps.   x/9 = 1+x/11   11x=99+9x   2x=99   x=49.5   The answer is 49.5.
<result>E</result>
Kay and Larry race around a running track. Kay runs at a constant rate of one lap every 9 minutes and Larry runs at a constant rate of one lap every 11 minutes. If they both start at the same time, how many minutes will it take for Kay to get exactly one lap ahead of Larry?