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Q: Two bodies are moving in the same direction along a circular track. One of them completes the track 2 seconds earlier than the other and they meet every 12 seconds at the starting point. Find the time taken by each of them to complete one round of the track?
A. 8 sec B. 6 sec
C. 5 sec D. 12 sec

Answer and Explanation

Answer:6 sec

Explanation:
suppose the two bodies need X and (X + 2) seconds to complete one
=> Round of the track. The two bodies will meet at a time equal to the LCM of the times they require to complete one round each. It has been given that LCM [X, (X+2)] = 12 seconds.
It can therefore be estimated that X = 4 seconds and (X + 2) = 6 seconds.

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