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A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts chasing. If the speed of the thief is 8 km/hr and that of the policeman is 10 km/hr, then how far will the thief have to run before he is overtaken?
- a)200 m
- b)300 m
- c)400 m
- d)500 m
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A thief is spotted by a policeman from a distance of 100 m. When the p...
Distance between policeman and thief = 100 m;
Since speed of the thief is 8 km/hr and that of the policeman is 10 km/hr;
∴ Relative speed = 10 – 8 = 2 km/hr = 2 × 5/18 = 5/9 m/s;
∴ Time taken by police to overtake the thief = 100/(5/9) = 180 sec
∴ Distance travelled by the thief in 180 sec = 180 × 8 × 5/18 = 400 m
Most Upvoted Answer
A thief is spotted by a policeman from a distance of 100 m. When the p...
Given:
Distance between thief and policeman = 100 m
Speed of thief = 8 km/hr = 8/3.6 m/s (converted to m/s)
Speed of policeman = 10 km/hr = 10/3.6 m/s (converted to m/s)
To find:
Distance the thief will have to run before he is overtaken.
Solution:
Let us assume that the thief runs for time 't' before he is overtaken.
During this time, the policeman also runs for 't'.
Distance covered by thief = Speed of thief x time taken = (8/3.6) x t = 2.22t
Distance covered by policeman = Speed of policeman x time taken = (10/3.6) x t = 2.78t
The distance between the thief and policeman reduces at a rate of (2.78 - 2.22) t = 0.56t m/s.
As the thief is being overtaken by the policeman, the distance covered by the policeman will be equal to the initial distance between them (100 m).
Therefore, we can write:
2.78t = 100 + 2.22t
0.56t = 100
t = 100/0.56
t = 178.57 s
Thus, the thief will have to run for 178.57 seconds before he is overtaken by the policeman.
Distance covered by thief = 2.22t = 2.22 x 178.57 = 395.24 m (approx.)
Therefore, the thief will have to run for approximately 400 m before he is overtaken by the policeman.
Hence, the correct option is (c) 400 m.
Distance between thief and policeman = 100 m
Speed of thief = 8 km/hr = 8/3.6 m/s (converted to m/s)
Speed of policeman = 10 km/hr = 10/3.6 m/s (converted to m/s)
To find:
Distance the thief will have to run before he is overtaken.
Solution:
Let us assume that the thief runs for time 't' before he is overtaken.
During this time, the policeman also runs for 't'.
Distance covered by thief = Speed of thief x time taken = (8/3.6) x t = 2.22t
Distance covered by policeman = Speed of policeman x time taken = (10/3.6) x t = 2.78t
The distance between the thief and policeman reduces at a rate of (2.78 - 2.22) t = 0.56t m/s.
As the thief is being overtaken by the policeman, the distance covered by the policeman will be equal to the initial distance between them (100 m).
Therefore, we can write:
2.78t = 100 + 2.22t
0.56t = 100
t = 100/0.56
t = 178.57 s
Thus, the thief will have to run for 178.57 seconds before he is overtaken by the policeman.
Distance covered by thief = 2.22t = 2.22 x 178.57 = 395.24 m (approx.)
Therefore, the thief will have to run for approximately 400 m before he is overtaken by the policeman.
Hence, the correct option is (c) 400 m.
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A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts chasing. If the speed of the thief is 8 km/hr and that of the policeman is 10 km/hr, then how far will the thief have to run before he is overtaken?a)200 mb)300 mc)400 md)500 mCorrect answer is option 'C'. Can you explain this answer?
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A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts chasing. If the speed of the thief is 8 km/hr and that of the policeman is 10 km/hr, then how far will the thief have to run before he is overtaken?a)200 mb)300 mc)400 md)500 mCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts chasing. If the speed of the thief is 8 km/hr and that of the policeman is 10 km/hr, then how far will the thief have to run before he is overtaken?a)200 mb)300 mc)400 md)500 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts chasing. If the speed of the thief is 8 km/hr and that of the policeman is 10 km/hr, then how far will the thief have to run before he is overtaken?a)200 mb)300 mc)400 md)500 mCorrect answer is option 'C'. Can you explain this answer?.
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A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts chasing. If the speed of the thief is 8 km/hr and that of the policeman is 10 km/hr, then how far will the thief have to run before he is overtaken?a)200 mb)300 mc)400 md)500 mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts chasing. If the speed of the thief is 8 km/hr and that of the policeman is 10 km/hr, then how far will the thief have to run before he is overtaken?a)200 mb)300 mc)400 md)500 mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts chasing. If the speed of the thief is 8 km/hr and that of the policeman is 10 km/hr, then how far will the thief have to run before he is overtaken?a)200 mb)300 mc)400 md)500 mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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