In a circular 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 after the start?	Choose the correct choice from the following answers:
A) 90
B) 100
C) 110
D) 120
E) 130
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)   = LCM(10,25,20)/GCD(1,2,3)   =100/1= 
<gadget id="calculator">100/1</gadget>
<output>100</output>
100   ANSWER:100
<result>B</result>
In a circular 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 after the start?