Latest Infosys Aptitude Question SOLUTION: In a circular race track of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in t

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In a circular race track of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. When will all the three meet for the first time on the after the start?

Asked In Infosys (12 years ago)

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priyanka  (9 years ago)

A takes (100m) / (10m/s) = 10s to finish one complte round.
B takes (100m) / (8m/s) = 12.5s to finish one complte round.
C takes (100m) / (15m/s) = (20/3)s to finish one complte round.
For them to meet, the time will be LCM of above three times ie LCM(10,12.5,20/3)
= LCM(10/1,25/2,20/3) =100sec

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RAJKUMAR.J  (12 years ago)

Ans:100 seconds
A = 10m/s
B = 8m/s
C = 15m/s
A and B same direction But C opposite direction
race = 100m
100/(10-8)=50seconds
for every 50secs A and B will meet
50sec*10m/s=500m
50sec*8m/s=400m
when A & B meets C will be in opposite direction of A & B
at 100sec
A->100*10=1000m
b->100*8=800m
at this all of them will meet

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