Time and distance | Chasing based problems/Questions(2023)
10We will start with the basic concepts of speed, distance, and time, and then move on to more advanced problems that involve multiple variables and calculations. You will learn how to calculate the distance covered by an object in a given time, how to find the speed of an object when the distance and time are given, and how to calculate the time taken by an object to cover a certain distance at a given speed.
We will also cover some practical examples, such as calculating the speed of a car or a runner, and how to determine the distance between two moving objects that are chasing each other. You will learn how to approach these types of problems and solve them step-by-step.
By the end of this video, you will have a thorough understanding of speed, time, and distance chasing-based problems in mathematics, and be able to tackle them confidently. So, buckle up and get ready to enhance your math skills!
1. A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/hr and 11 km/hr respectively. How far the thief will have run before he is overtaken?
2. The distance between a thief and a policemen is 300m. the speed of thief is 12m/s and the speed of police is 15m/s. find the distance covered by police to catch the thief?
A) 1000m B) 1200m C) 1500m D) 2000m E) 1300m
3. A thief steal a car at 1pm and run at a speed of 80kmph. The theft discovered at 2pm and police run behind him at a speed of
100kmph. Find at what time police will catch the thief?
A) 6pm B) 7pm C) 8pm D) 5pm
4. A thief steal a car at 1:30PM and drive at the speed of 80kmph. The theft is discovered at 2:30pm and police run behind him at the speed of 100kmph. Find at what time thief will be caught?
A) 6:30PM B) 5:30PM C) 6PM D) 7PM E) 7:30PM
5. A thief steal a car at 1:30pm and drive at a speed of 60km/hr. Police came to know about theft at 2:30pm and start chasing him
with the speed of 70km/hr. after how much kilometre police will catch the thief ?
A) 360km B) 420km C) 440km D) 480km
6. A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with a speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?
a) 8:00 b) 4:00 c) 6:30 d) 5:30
7. A constable is 114 meters behind a thief. The constable runs 21 meters and the thief 15 meters in a minute. In what time will the constable catch the thief?
a) 19 minutes b) 18 minutes c) 17 minutes d) 16 minutes
8. A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
a) 50 meter b) 100 meter c) 110 meter d) None of above
9. The distance between City A and B is 60 km. Two-person P and Q starts from city A simultaneously for city B. The speed of P is 4 km/hr less than speed of Q. Q reached at city B and return immediately and meet P from the distance 12 km from city B. The speed of both P and Q is:
10. The distance between City A and B is 96 km. Two-person P and Q having speed 90 km/hr and 70 km/hr starts from city A simultaneously for city B. Q reached at city B and return immediately and meet P from the distance x km from city B. Find the value of x.
a) 32 km b) 16 km c) 12 km d) 2 km e) 15 km
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