# Circular Track Youtube Lecture Handout

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Three person A, B, C run along a circular path with speeds of 6 kmph, 4 kmph, 8 kmph respectively. If the length of circular path is 24 km. After what time will they meet again at starting point?Three person A, B, C run along a circular path with speeds of 6 kmph, 4 kmph, 8 kmph respectively.

## Circular Track

Three person A and B run along a circular path with speeds of 6 kmph, 2 kmph respectively. If the length of circular path is 24 km. After what time will they __meet again__ and __meet at the starting point again__? (Same direction)

Three person A and B run along a circular path with speeds of 6 kmph, 2 kmph respectively. If the length of circular path is 24 km. After what time will they __meet again__ and __meet at the starting point again__? (Opposite Direction)

Three person A, B, C run along a circular path with speeds of 6 kmph, 4 kmph, 8 kmph respectively. If the length of circular path is 24 km. After what time will they __meet again at starting point__?

Three person A, B, C run along a circular path with speeds of 6 kmph, 4 kmph, 8 kmph respectively. If the length of circular path is 24 km. After what time will they __meet again__?

A can run one full round of a circular track in 6 min and B in 15 min. If both A and B start simultaneously from the same starting point then How many times ** would they meet** in the time B has completed 10 rounds when running in same direction, and in opposite direction?

In a 4000 meter race around a circumference of 1000 meters, the fastest and the slowest runner reach the same point at the end of the 5^{th} minute, for the first time after the start of the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?

## Number of Meeting Points

Suppose A and B are running a 3 km race in a circular track of length 300m. Speeds of A and B are in the ratio 4:3. How many times and where would the winner pass the other?

X, Y and Z move along a circular path of length 12 km with speeds of 6 km/h, 8 km/h and 9 km/h respectively. X and Y move in the same direction but Z moves in opposite direction. If they all start at the same time and from same place, how many times will X and Z meet anywhere on the path by the time X and Y meet for the first time anywhere on the path ?

A and B run in opposite directions on a circle. A runs in the clockwise direction. A meets B first time at a point 500 m away in clockwise direction. A meets B second time at a point 400 m away in anticlockwise direction from starting point. If B is yet to complete one round, what is the circumference of the circle?

Next Time: Complex Problems in Circular Tracks (for e.g. with Head Start), Clocks as Circular Tracks!

-Mayank