Discussion :: Races and Games
- Three men A, B and C walk around a circle, 1760 meters in circumference, at the rates of 160 meters, 120 meters and 105 meters per minute respectively. If they all start together and walk in the same direction, when will they be first together again?
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Answer : Option C
Explanation :
To gain 40 meters over B, A takes 1 minute.
To gain 1760 meters over B, A takes:
Again, to gain 55 meters over C, A takes 1 min.
∴To gain 1760 meters over C, A takes
Thus, A and B will be together after 44 minutes, while A, and C are together again after 32 minutes.
Now, LCM of 44 and 32 is 352.
So, A, B, and C will be first together again after 352 minutes.
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