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?
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?
A building has 2 elevators. X gets on one of them and Y on another. X takes the elevator from the 2 nd floor which goes up at 15 floors a minute. Y takes the elevator from 107 th floor which comes down at 20 floor a minute. At which floor do X and Y meet?
A truck covered a distance of 780 km in 12 hours. What distance would a car cover in 11 hours travelling at a speed which is seven kmph more than that of the truck?
