Quant Exam > Quant Questions > A thief is spotted by a policeman from a dist...
Start Learning for Free
A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?
- a)800 m
- b)700 m
- c)650 m
- d)750 m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A thief is spotted by a policeman from a distance of 200 metre. When t...
d = 200 m, a = 16kmph = 40/9 m/s, b = 20kmph = 50/9 m/s
Required Distance D = d*(a/b-a)b= 200*(40/9/10/9) = 800m
Required Distance D = d*(a/b-a)b= 200*(40/9/10/9) = 800m
Free Test
FREE
| Start Free Test |
Community Answer
A thief is spotted by a policeman from a distance of 200 metre. When t...
Given data:
Distance between the thief and policeman = 200m
Speed of thief = 16 kmph
Speed of policeman = 20 kmph
Let's assume that the thief runs for 't' seconds before he is overtaken by the policeman.
We know that speed = distance/time
Speed of thief = distance covered by thief/time taken by thief = distance covered by thief/t
Therefore, distance covered by thief = speed of thief x time taken by thief = 16 x (t/3600) x 1000m (converting kmph to m/s)
Similarly, distance covered by the policeman = speed of policeman x time taken by policeman = 20 x (t/3600) x 1000m
Now, we can use the fact that the distance covered by the thief and the policeman is the same when the thief is overtaken. Therefore,
Distance covered by thief = Distance covered by policeman
16 x (t/3600) x 1000 = 20 x (t/3600) x 1000 + 200 (adding the initial distance between the thief and policeman)
Simplifying, we get:
4 x (t/3600) x 1000 = 200
t = 200 x 3600 / (4 x 1000) = 1800 seconds
Therefore, distance covered by thief = 16 x (1800/3600) x 1000 = 800m (Option A is correct)
Conclusion:
The thief will have run 800m before he is overtaken by the policeman.
Distance between the thief and policeman = 200m
Speed of thief = 16 kmph
Speed of policeman = 20 kmph
Let's assume that the thief runs for 't' seconds before he is overtaken by the policeman.
We know that speed = distance/time
Speed of thief = distance covered by thief/time taken by thief = distance covered by thief/t
Therefore, distance covered by thief = speed of thief x time taken by thief = 16 x (t/3600) x 1000m (converting kmph to m/s)
Similarly, distance covered by the policeman = speed of policeman x time taken by policeman = 20 x (t/3600) x 1000m
Now, we can use the fact that the distance covered by the thief and the policeman is the same when the thief is overtaken. Therefore,
Distance covered by thief = Distance covered by policeman
16 x (t/3600) x 1000 = 20 x (t/3600) x 1000 + 200 (adding the initial distance between the thief and policeman)
Simplifying, we get:
4 x (t/3600) x 1000 = 200
t = 200 x 3600 / (4 x 1000) = 1800 seconds
Therefore, distance covered by thief = 16 x (1800/3600) x 1000 = 800m (Option A is correct)
Conclusion:
The thief will have run 800m before he is overtaken by the policeman.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer?
Question Description
A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer?.
A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?a)800 mb)700 mc)650 md)750 mCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup