Chase: a faster runner catches a slower one who has a head start in time or distance
This type of question, asked 5 times: CDS 1 2017, CDS 2 2018, CDS 2 2022, CDS 1 2024, CDS 2 2025. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 1 2017
44A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 8 km/hour and that of the policeman is 10 km/hour, then how far will the thief have to run before he is overtaken ?Tap an option to check your answer.
Question 2
CDS 2 2018
43A thief steals a car parked in a house and goes away with a speed of 40 kmph. The theft was discovered after half an hour and immediately the owner sets off in another car with a speed of 60 kmph. When will the owner meet the thief ?Tap an option to check your answer.
Question 3
CDS 2 2022
36A person X starts from a place A and another person Y starts simultaneously from another place B which is d km away from A. They walk in the same direction. X walks at an average speed of u km/hr and Y walks at an average speed of v km/hr. How far will X have walked before he overtakes Y ?Tap an option to check your answer.
Question 4
CDS 1 2024
55Two trains A and B leave Delhi for Hyderabad at 7:00 a.m. and 7:50 a.m. on the same day and travel at 80 kmph and 100 kmph respectively. After how many kilometers from Delhi will the two trains be together ?Tap an option to check your answer.
Question 5
CDS 2 2025
52Two persons and leave place for place at 7:00 a.m. and 7:10 a.m. respectively along the same path. walks at a speed of 4.8 km/hr and walks at a speed of 6 km/hr. How many kilometres from place will meet ?Tap an option to check your answer.