3
Calculation:
The faster of the two friends will catch up with the slower one only after he runs one extra round than the slower one.
Here since the ratio of the speeds of the two friends is 3 : 2
The faster of the two meets the slower one once every three rounds.
Since the track length is 300m and the race is of 3KM length, the faster of the number of rounds to finish the race is 3km/300m = 10 rounds.
Since they meet for every 3 rounds, and there are 10 rounds in total. So, they meet 3 times in completing those 10 rounds.
Hence, option 2 is correct.
Important Questions from Relative Speed
In a circular race of 2500 m, a man and a woman start from a point towards opposite directions with speeds of 37 km/h and 35 km/h, respectively. After how much time from the start of the race will they meet for the first time?
A train of length 600 meters passes another train of length 1000 meters moving in the opposite direction in 96 seconds. If the speed of both the trains is the same, then what is the speed of each train?
The distance between Delhi and Patna is $480$ km. A train starts from Delhi and travels towards Patna at a speed of $60$ kmph. Another train starts from Patna towards Delhi at a speed of $80$ kmph, but starts $1$ hour after the first train. In how much time, after the first train started, will they meet each other?
Ram traveling at the speed of 3 km/h reaches 15 minutes late. Had he walked at 4 km/h, he would have reached 15 minutes earlier. How much distance does Ram have to cover?
A train, running at a speed of 36 kmph, takes 60 seconds to cross an electric pole. How much time it will take to cross a platform of length 250 meter?
