Two athletes A and B are running on a circular track of length 1800 m from the same starting point at the same starting time,at the speeds of 9 m/s and 6 m/s, respectively. At how many distinct points will they meet while running in opposite directions?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 5
Given that
A circular track of length 1800 m
Athlete A and B speeds are 9 m/s and 6 m/s, respectively.
If they run from the starting point in the opposite direction then they meet at the starting point again in = LCM of (1800/9, 1800/6) = LCM of (200, 300) = 600 sec
And they meet at any point if they are running in opposite directions from the starting point
= LCM of (1800/(9 + 6)) = LCM of (120) = 120 sec
Hence, They meet at = 600/120 = 5 distinct points while running in opposite direction