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Earn 100

Two runners Portheus and Zeus, are running around a circular track at different speeds such that they meet after regular time intervals. The length of the track (circumference) is 1600 meters. If they run in opposite directions, they meet at eight different points while if they run in the same direction it is observed that they meet at 2 distinct points on the circular track. If they meet at intervals of 1.33 minutes when they run in the same direction, how much time does the faster runner (Portheus) take to complete one round?

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Important Questions on Time, Speed and Distance

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At the Vijayantkhand Mini Stadium there are two circular race tracks A with radii  40m and B 80 m respectively such that they touch each other at a point X. The coach Vijay Sir has a particular ritual with his best athletes Mridul and Odeon. Mridul runs at a speed of 800 pi m/min on Race Track A and Odeon runs at a speed of 40 pi m/min along the Race Track B. Both of them start from the point X and run multiple rounds. If Mridul gives Odeon a start of 4 mins exactly before he starts running himself, after how much time in minutes) will the straight line distance between the two be exactly  240 m?
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Bolt and Milkha, start running around a race track simultaneously. Holt runs at a speed of 's' kmph, while Milkha runs at a speed of m' kmph. They meet for the first time when Bolt is in his third round Which of the following can be the value of s:m?
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Amar, Abhijit and Arun start running on a circular race track (from the same point). Amar and Abhijit run in a clockwise fashion while Arun runs anticlock- wise. When Amar and Arun meet for the first time, Arun is at a distance which is equal to a quarter of the circumference of the circular race track. It is also known that Amar runs faster than Arun. The ratio of Speeds of Amar, Arun und Abhijit cannot be...?
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At what time between 6 and 7 o'clock is the miniute hand of a clock 4 minutes ahead of the hour hand? 
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The minute hand of a clock overtakes the hour hand at intervals of 66 minutes of the correct time. How much time does the clock gain or lose in 4 hours?
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Robin Varkey's watch always runs faster than the actual time and gains time uniformly. He sets the watch to be 10 minutes behind time at 12 noon on a Sunday. He observes that the watch is 5 minutes 48 seconds faster the following Sunday at 12 noon. At what exact time would the watch be correct?
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Prawin Tiwari sets his clock right at 10 AM on Monday morning. However, being a defective piece (the clock), it loses 32 minutes every day. He has to get up on Friday at exactly 4 AM to catch his flight to Lebuana. At what time on Friday morning should he set the alarm on his watch in order for the watch to ring at exactly 4 AM?
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At what time in minutes, between 4 o'clock and 5 o'clock, would both the hands of a clock coincide with each other?