Solving Unique Problems (7) on Circular Track – Quick Tricks for Head Starts, Semi Circles & More - Videos

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Mayank Bomb in this session explains Circular Track: Assorted Problems.
Circumference of 90 centimeters is divided into three equal lengths. Ants A, B, and C start to crawl clockwise starting from one of the three points. A is ahead of B and B is ahead of C at speeds 3 cm/s, 5 cm/s, & 10 cm/s. How long does it take for the three ants to arrive at the same spot for the first time?
Amy and Amanda walk on a circular track. Amy starts from spot A, and Amanda starts from spot B. They walk in opposite directions. After 6 minutes, they meet, 4 more minutes later, Amy arrives at spot B. 8 more minutes later, they meet again. How many minutes does it take for both to walk the full circle?
A and B start running in opposite directions (towards each other) on a circular track starting at diametrically opposite points. They first meet after A has run for 75m and then they next meet after B has run 100 m after their first meeting. Find circumference of the track
A and B stand at distinct points of a circular race track of length 120m. They run at speeds of a m/s and b m/s respectively. They meet for the first time 16 seconds after they start the race and for the second time 40 seconds from the time they start the race. Now, if B had started in the opposite direction to the one he had originally started, they would have meet for the first time after 40 seconds. If B is quicker than A, find B’s speed.
A sprinter starts running on a circular path of radius r m. Her average speed (m/min) is πr during the first 30 seconds, πr/2 during the next one minute, πr/4 during next 2 minutes, πr/8 during next 4 minutes and so on. What is the ratio of the time taken for the nth round to that for the previous round. 
Two friends A and B simultaneously start running around a circular track. They run in the same direction. A travels at 6 m/s and B runs at b m/s. If they cross each other at exactly two points on the circular track and b is a natural number less than 30, how many values can b take?
Three friends A, B and C decide to run around a circular track. They start at the same time and run in the same direction. A is the quickest and when A finishes a lap, it is seen that C is as much behind B as B is behind A. When A completes 3 laps, C is the exact same position on the circular track as B was when A finished 1 lap. Find the ratio of the speeds of A, B and C?

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