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Q: A and B can run around a circular track in 6 and 8 minutes. If they start together and run in the same direction, when will they meet each other for the first time?
A. 16min  B. 48 min  
C. 24 min  D. Indeterminate

Answer and Explanation

Answer:24 min 

Explanation:
 Let the length of track = L m
Speed of A = L/6 m/min; Speed of B = L/8 m/min
Since they are running in the same direction,
Time taken to meet for first time =
L / (L/6 – L/8) = L / (4L – 3L)/24 = 24L/L = 24 min
Alternately, time taken to meet for the first time = LCM (6 minutes, 8 minutes) = 24 mins

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