A, B and C run simultaneously, starting from a point, around a circular track of length 1200m, at respective speeds of 2 m/s, 4 m/s, and 6 m/s. A and B run in the same direction, while C runs in the opposite direction to the other two. After how much time will they meet for the first time?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 10 minutes
Given that
The length of the circular track = 1200 m
The speed of A = 2 m/s
The speed of B = 4 m/s
The speed of C = 6 m/s
Formula used
Distance = Relative speed × time
Calculation
The relative speed of A and B is (4 - 2) = 2 m/s
The relative speed of A and C is (6 + 2) = 8 m/s
The relative speed of B and C is (6 + 4) = 10 m/s
Now,
The time taken by A and B is 1200/2 = 600 sec
The time taken by A and B is 1200/8 = 150 sec
The time taken by A and B is 1200/10 = 120 sec
Hence, A, B, and C will meet at = LCM (600, 150, 120) = 600sec = 600/60 = 10 minutes