SOLUTION: Two rabbits start at a point P on a circular track and move in opposite directions. One travels at a speed of 11 ft/sec and the other at a speed of 8 ft/sec. If they start at the s

Question 585033: Two rabbits start at a point P on a circular track and move in opposite directions. One travels at a speed of 11 ft/sec and the other at a speed of 8 ft/sec. If they start at the same time and stop when they meet again at point P, then the number of times they meet excluding the start and finish is
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Say the distance around the track is ft
The time for the faster rabbit is sec
to go completely around.
In this amount of time, the slower rabbit has gone
ft
The slower rabbit has to go some whole multiple
of in order to meet the faster rabbit
at the starting point
The 1st whole multiple of is
where is the number of times around
for the slower rabbit
----------------------
Excluding the start and finish, they meet
times
Hope I got it
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