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A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?
- a)1237.5 metres
- b)1137.5 metres
- c)1357.5 metres
- d)1256.5 metres
- e)1298.5 metres
Correct answer is option 'A'. Can you explain this answer?
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A thief was spotted by a policeman from a distance of 225 metres. When...
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A thief was spotted by a policeman from a distance of 225 metres. When...
Given data:
Distance between policeman and thief = 225 metres
Speed of thief = 11 km/h
Speed of policeman = 13 km/h
Conversion of speeds:
Convert the speeds of thief and policeman from km/h to m/s:
Speed of thief = 11 km/h = 11 * 1000 m / 3600 s = 3.06 m/s
Speed of policeman = 13 km/h = 13 * 1000 m / 3600 s = 3.61 m/s
Time taken by policeman to catch thief:
Let the time taken by the policeman to catch the thief be t seconds.
During this time, the thief would have run a distance of 3.06t metres.
The policeman would have run a distance of 3.61t metres.
Since the sum of the distances covered by the thief and policeman would be equal to the initial distance between them:
3.06t + 3.61t = 225
6.67t = 225
t = 225 / 6.67
t ≈ 33.74 seconds
Distance run by thief before getting caught:
Distance run by thief = 3.06 * 33.74 ≈ 1237.5 metres
Therefore, the thief would have run approximately 1237.5 metres before the policeman caught up with him. Hence, the correct answer is option A.
Distance between policeman and thief = 225 metres
Speed of thief = 11 km/h
Speed of policeman = 13 km/h
Conversion of speeds:
Convert the speeds of thief and policeman from km/h to m/s:
Speed of thief = 11 km/h = 11 * 1000 m / 3600 s = 3.06 m/s
Speed of policeman = 13 km/h = 13 * 1000 m / 3600 s = 3.61 m/s
Time taken by policeman to catch thief:
Let the time taken by the policeman to catch the thief be t seconds.
During this time, the thief would have run a distance of 3.06t metres.
The policeman would have run a distance of 3.61t metres.
Since the sum of the distances covered by the thief and policeman would be equal to the initial distance between them:
3.06t + 3.61t = 225
6.67t = 225
t = 225 / 6.67
t ≈ 33.74 seconds
Distance run by thief before getting caught:
Distance run by thief = 3.06 * 33.74 ≈ 1237.5 metres
Therefore, the thief would have run approximately 1237.5 metres before the policeman caught up with him. Hence, the correct answer is option A.
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A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer?
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A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer?.
A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer?.
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A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him ?a)1237.5 metresb)1137.5 metresc)1357.5 metresd)1256.5 metrese)1298.5 metresCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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