Seema, Meena and Reema begin to jog around a circular stadium and they complete their revolutions in 54 seconds, 42 seconds and 63 seconds respectively. After approximately how many minutes will they come together at the starting point?
A. 8 minutes
B. 10 minutes
C. 3 minutes
D. 6 minutes
E. None of These
Solution(By Examveda Team)
They will meet together at starting point after,
LCM of (54, 42, 63) seconds.
54 = 2 *3 *3 *3
42 = 2 *3 *7
63 = 3 * 3 *7
Required LCM = 3 *3 *3 *2 *7 = 378 seconds. = 6.3 minutes.
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basically all the options converted in secs should be multiples of all three time periods. none of them satisfy this condition