From a point on a circular tract 5 km long Arjun, Bhisma and Nakul started running in the same direction at the same time with speeds of \(2\frac{1}{2}\)km per h, 3 km per h and 2 km per h respectively. Then on the starting point all three will meet again after
Correct Answer: Option C
∵ Total time taken = Total distance/Average speed
∴ Time taken by Arjun to complete one round \(= \frac{5}{{2\frac{1}{2}}} =\) 2 hours = 2 × 60 mins = 120 minutes
∴ Time taken by Bhismato complete one round \(= \frac{5}{3}{\rm{hours}} = \frac{5}{3} \times 60\) mins = 100 minutes
∴ Time taken by Nakulto complete one round \(= \frac{5}{2}{\rm{hours}} = \frac{5}{2} \times 60{\rm{\;}}\) = 150 minutes
∴ Time taken by all three to meet again at the starting point = LCM of 120, 100 and 150 minutes
= 600 minutes = 600/60 hours = 10 hours
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