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Q.

A circular field has a circumference of Question Image. Three cyclists start together and can cycle 48,60 and Question Image per day, round the field. When will they meet again?


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a

7 days

b

15 days

c

23 days

d

30 days 

answer is D.

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Detailed Solution

Concept- The distance traversed by them to meet again will be one of the multiples of the LCM
of their velocities. They will meet again because the path is round; otherwise, they will never meet.
Circumference of field Question ImageCyclist 1 can cover Question Image in 1 day
Question Image For covering Question Image days
Cyclist 2 can cover Question Image in 1 day
Question Image for covering Question Image days
Cyclist 3 can cover Question Image in 1 day
Question Image for covering Question Image days
Question Imagedays Question Image hours
6 days Question Image hours
5 days Question Image hours
LCM of Question Image is 720
Now Question Image days
Question Image The cyclist will meet after 30 days
Hence, the right answer is 4) 30 days
 
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