Policeman chases a thief with a head start, both start together: relative speed (distance, time, gap or a speed)

This type of question, asked 27 times: 14 Jul 2023 S4, 17 Jul 2023 S1, 17 Jul 2023 S2, 17 Jul 2023 S3, 18 Jul 2023 S1, 18 Jul 2023 S2, 18 Jul 2023 S4, 19 Jul 2023 S4, 20 Jul 2023 S2, 20 Jul 2023 S3, 21 Jul 2023 S2, 24 Jul 2023 S1, 25 Jul 2023 S1, 26 Jul 2023 S1, 26 Jul 2023 S2, 27 Jul 2023 S2, 9 Sep 2024 S3, 10 Sep 2024 S2, 11 Sep 2024 S2, 12 Sep 2024 S2, 19 Sep 2024 S2, 19 Sep 2024 S3, 23 Sep 2024 S1, 24 Sep 2024 S1, 24 Sep 2024 S3, 25 Sep 2024 S2, 26 Sep 2024 S2. All 28 questions below, oldest first.

Try each one first, then open its answer.

Question 1
14 Jul 2023 S4
62 $A policeman follows a thief, who is 1250 m ahead of him. The policeman and the thief run at the speed of 10 km/h and 8 km/h, respectively. The distance (in km) run by the thief before he is nabbed by the policeman is:$
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Question 2
17 Jul 2023 S1
57 $A policeman noticed a thief from 300 m. The thief started running and the policeman was chasing him. The thief and the policeman ran at the speeds of 8 km/h and 9 km/h, respectively. What was the distance between them after 3 minutes?$
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Question 3
17 Jul 2023 S2
61 $A thief is spotted by a constable from 200 m. When the constable starts the chase, the thief also starts running. If the speed of the constable is 8 km/h and thief runs at the speed of 6 km/h, then how far (in m) will the thief be able to run before he is overtaken?$
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Question 4
17 Jul 2023 S3
71 $A constable Ram is 225 m behind a thief Somesh. Ram runs 50 m and Somesh runs 30 m in a minute. At what time will the constable Ram catch the thief Somesh?$
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Question 5
18 Jul 2023 S1
53 $A thief is spotted by a policeman from a distance of 400m. When the policeman starts chasing, the thief also starts running. If the speed of the thief is 32km/h and that of the policeman is 40 km/h, then how far wouldthe thief have run before he is overtaken?$
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Question 6
18 Jul 2023 S2
60 $A policeman follows a thief who is 600 m ahead of the policeman. If the policeman and the thief run at speeds of 10 km/h and 8 km/h, respectively, in how much time (in minutes), will the policeman catch the thief?$
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Question 7
18 Jul 2023 S4
72 $A thief is spotted by a policeman from a distance of 210 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 25 km/h and that of the policeman is 32 km/h, then how far would the thief have run (in m) before he is overtaken?$
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Question 8
19 Jul 2023 S4
66 $A thief seeing a policeman from a distance of 300 m starts running at a speed of 10 km/h. The policeman gives chase immediately at a speed of 12 km/h and the thief is caught. What is the distance run by the thief?$
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Question 9
20 Jul 2023 S2
64 $A thief is chased by a policeman and distance between them is 3 km. The speed of policeman is 75 km/h and the speed of the thief is 60 km/h. The policeman will be able to catch the thief when the thief would have covered the distance of ______ km.$
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Question 10
20 Jul 2023 S3
64 $A thief is noticed by a policeman from a distance of 200 m. The thief starts running as soon as he is noticed, and the policeman chases him simultaneously. The thief and the policeman run at the speeds of 10 km/h and 11 km/h, respectively. What is the distance (in m) between them after 6 min policeman starts chasing?$
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Question 11
21 Jul 2023 S2
57 $80\%$
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Question 12
24 Jul 2023 S1
60 $A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 17 km/h and 20 km/h, respectively. What is the distance between them after 8 minutes?$
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Question 13
25 Jul 2023 S1
67 $A thief seeing a policeman from a distance of 400 m started running at a speed of 16 km/h. The policeman chased him immediately with a speed of 18 km/h and the thief was caught. What is the distance run by the thief before he was caught by the policeman?$
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Question 14
25 Jul 2023 S1
55 $A policeman starts chasing a thief when he was already 600 m ahead. If the policeman is running at a speed of 9 km/h and the thief at 8 km/h, then the thief would be caught at a distance of:$
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Question 15
26 Jul 2023 S1
60 $A policeman saw a thief at a distance of 400 m. The thief started running at a speed of 10 km/h and the policeman chased him at a speed of 12 km/h in the same direction. At what distance from the starting point will the policeman catch the thief?$
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Question 16
26 Jul 2023 S2
60 $A policeman spots a thief at a distance of 360 m. Both the policeman and the thief simultaneously start running, with the former chasing the latter. While the thief runs at the speed of 8 km/h, the policeman runs at 9.2 km/h. How many metres will the policeman have to run before he catches up with the thief?$
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Question 17
27 Jul 2023 S2
69 $A thief robs precious metals from a store which is 1150 m away from the police. The thief starts running at 6 km/h and the police starts chasing at 11 km/h at the same time. How much distance (in m) will the thief run before being caught?$
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Question 18
9 Sep 2024 S3
56 $A thief noticed a policeman at a distance of 600 metres. The thief started running and the policeman chased him. The thief and policeman are running at speeds of 12 km/h and 15 km/h, respectively. Find the time (in minutes) required for the policeman to catch the thief.$
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Question 19
10 Sep 2024 S2
54 $A policeman noticed a thief at a distance of 500 metres. The policeman started running and the thief also started running at the same time. The thief is running at a speed of 15 km/h. It took 15 minutes for the policeman to catch the thief. Find the speed of the policeman (in km/h).$
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Question 20
11 Sep 2024 S2
51 $A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/h and 11 km/h, respectively. What is the distance (in metres) between them after 9 minutes?$
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Question 21
12 Sep 2024 S2
61 $5 : 4$
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Question 22
19 Sep 2024 S2
68 $A thief is spotted by a policeman from a distance of 200 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 9 km/h and that of the policeman 10 km/h, how far will the thief have to run before he is overtaken?$
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Question 23
19 Sep 2024 S3
71 $A thief is spotted by a policeman from a distance of 195 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 22 km/h and that of the policeman is 27 km/h, then how far would the thief have run (in m) before he is overtaken?$
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Question 24
23 Sep 2024 S1
52 $A thief is noticed by a policeman from a distance of 92 m. The thief starts running and the policeman chases him. The thief and the policeman run at the speed of 90 km/h and 104.4 km/h, respectively. In how much time will the policeman catch the thief?$
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Question 25
24 Sep 2024 S1
73 $A thief is spotted by a policeman from a distance of 100 m. The thief starts running and the policeman chases him. If the speed of thief and policeman are 21 km/h and 23 km/h, respectively, then how far will the thief have to run before he is over taken?$
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Question 26
24 Sep 2024 S3
60 $A policeman is chasing a thief at a speed of 82 km/h. The thief is 1300 m away and is running at a speed of 64 km/h. In how much time will the policeman catch the thief if both are riding on bikes?$
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Question 27
25 Sep 2024 S2
57 $A policeman noticed a thief at some distance. The policeman started running to catch the thief and the thief also started running at the same time. The speed of both policeman and the thief was 12 km per hour and 10 km per hour, respectively. It took 30 minutes for the policeman to catch the thief. Find the initial distance (in metres) between them.$
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Question 28
26 Sep 2024 S2
65 $A thief takes off on his bike at a certain speed, after seeing a police car at a distance of 250 m. The police car starts chasing the thief and catches him. If the thief runs 1.5 km before being caught and the speed of the police car is 70 km/h, then what is the speed of thief's bike (in km/h)?$
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Policeman chases a thief with a head start, both start together: relative speed (distance, time, gap or a speed)

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