A thief running at speed of ‘x’ km/h is chased by a policeman running at a speed of 10 km/h. If the thief is ahead by 100 metres, the policeman catches the thief after 3 minutes. At what speed is the thief running (‘x’ being the unknown speed)?

In a circular race of 1500 m, A and B start running simultaneously at speeds of 27 km/hr and 45 km/hr from the same point and the same time. After how much time will they meet at the starting point for the first time if they are running in the opposite direction?

In a circular race of 500 m, A and B start from the same point and at the same time at speeds of 36 km/hr and 45 km/hr in the same direction. After how long will they meet again for the first time on the track?

On a 300 km long racing track, three bikes — A, B, and C take part in a race. Initially, their speeds are 50 km/hr for Bike A, 40 km/hr for Bike B, and 60 km/hr for Bike C. After the first 2 hours of racing, their speeds are altered as follows:
Bike A adopts a new speed which is 25% more than Bike C’s speed at that moment.
Bike B increases its speed by 10% compared to its original speed.
Bike C reduces its speed to 80% of Bike A’s original speed.
Find the time gap (in minutes) between the bikes that finished first and second.

In a 2295 m circular race, Siddharth finishes one round in 85 seconds and Yash finishes one round in 45 seconds. How many different meeting points are there on the circumference if they are running in the opposite directions?

In a race, an athlete covers a distance of 456 m in 152 sec in the first lap. He covers the second lap of the same length in 76 sec. What is the average speed (in m/sec) of the athlete?

In a race, an athlete covers a distance of 336 m in 168 sec in the first lap. He covers the second lap of the same length in 56 sec. What is the average speed (in m/sec) of the athlete?

In a race, an athlete covers a distance of 312 m in 156 sec in the first lap. He covers the second lap of the same length in 52 sec. What is the average speed (in m/sec) of the athlete?

P can complete a round of circular track in 1 minute and 30 seconds while Q can complete a round in 45 seconds. If they start moving from the same point and move in opposite directions, then they meet after _____ seconds.