Two cyclists are running on a circular track of 500m.They start from the same point A at the same time.If they meet for the first time at a point 150 m from A, which of the following could be the possible ratio of their speeds?  Choose the correct option: A) 1:3 B) 2:3 C) 3:5 D) 3:7 E) 7:11
well, the key aspect of this question is the distance mentioned, when they met for the first time, which is 150m away from the starting point. This distance between their first meeting can be less than 500 in only two circumstance.   1) if both are travelling in the same direction and one of them has been given a head start say by few meters.   2) or if both are travelling in the opposite direction.   now since they start their journey at the same time. hence option 1 is ruled out. hence they must be running in the opposite direction. hence answer should be 2:3.   Why?? here is a solution   As here time is constant, therefore, distance traveled will be directly proportional to the the respective velocities/speed of the two runners.(d1/d2=v1/v2)   now one of them has covered 150m, therefore other must have covered 350m, therefore ratio of their speeds/velocities will be 3:7   3:7
<result>D</result>
Two cyclists are running on a circular track of 500m.They start from the same point A at the same time.If they meet for the first time at a point 150 m from A, which of the following could be the possible ratio of their speeds?