A and B are running in opposite directions around a circular track of length 120 meters. If the speeds of A and B are in the ratio 3:2, find the minimum distance between their first and 13th meeting points.
Answers
Given : A and B are running in opposite directions around a circular track of length 120 meters.
speeds of A and B are in the ratio 3:2,
To Find : the minimum distance between their first and 13th meeting points.
Solution:
Speed = 3S and 2S m/s
Running in opposite Direction
Hence net speed = 5S m/s
Distance covered = 120 m
Distance covered by A = (3S/5S) * 120 = 72 m
Distance covered by B = (2S/5S) * 120 = 48 m
At 1st Meeting they are 72 m and 48 m from origin in different Direction
Distance covered by A till 13th Meeting = 13 * 72
= 936 m
= 120 * 7 + 96 m
24 m ahead of 72 m
Distance covered by B till 13th Meeting = 13 * 48
= 624 m
= 120 * 5 + 24 m
24 m Before 48 m
Hence distance between their first and 13th meeting points = 24 m
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