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Question
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Options:
A .  120 sec
B .  150 sec
C .  140 sec
D .  130 sec
E .  None of these
Answer: Option A


Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}= LCM { 600/ (36 * 5/18)  , 600/ (54 * 5 /18) } = LCM (60, 40) = 120 sec.



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