A theft occurred in the market and after stealing goods thief ran away. It took 20 minutes for police to arrive at the place where the incident happened and they immediately started chasing him. The thief and policeman run at the rate of 10 kmph and 11 kmph respectively. After certain time police captures the thief. Find out the distance between the thief and police before 12 minutes of the thiefandrsquo;s capture? (Assume that police and thief have followed the same path)a)200 meterb)400 meterc)120 meterd)100 meterCorrect answer is option 'A'. Can you explain this answer?

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A theft occurred in the market and after stealing goods thief ran away. It took 20 minutes for police to arrive at the place where the incident happened and they immediately started chasing him. The thief and policeman run at the rate of 10 kmph and 11 kmph respectively. After certain time police captures the thief. Find out the distance between the thief and police before 12 minutes of the thief’s capture? (Assume that police and thief have followed the same path)

a)
200 meter
b)
400 meter
c)
120 meter
d)
100 meter

Correct answer is option 'A'. Can you explain this answer?

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A theft occurred in the market and after stealing goods thief ran away...

To find the distance between the thief and the police before 12 minutes of the thief's capture, we need to calculate the distance covered by each of them in that time.

The thief runs at a speed of 10 kmph for the entire duration of the chase, which is 20 minutes (or 20/60 = 1/3 hours). Therefore, the distance covered by the thief is:

Distance = Speed × Time
Distance = 10 kmph × 1/3 hours
Distance = 10/3 km

Now, let's determine the distance covered by the police in the same time period. The police run at a speed of 11 kmph for 12 minutes (or 12/60 = 1/5 hours). Therefore, the distance covered by the police is:

Distance = Speed × Time
Distance = 11 kmph × 1/5 hours
Distance = 11/5 km

To find the distance between the thief and the police before 12 minutes of the thief's capture, we subtract the distance covered by the police from the distance covered by the thief:

Distance between thief and police = Distance covered by thief - Distance covered by police
Distance between thief and police = 10/3 km - 11/5 km

To subtract these fractions, we need to find a common denominator:

Distance between thief and police = (10/3) × (5/5) km - (11/5) × (3/3) km
Distance between thief and police = 50/15 km - 33/15 km
Distance between thief and police = 17/15 km

Therefore, the distance between the thief and the police before 12 minutes of the thief's capture is 17/15 km.

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A theft occurred in the market and after stealing goods thief ran away. It took 20 minutes for police to arrive at the place where the incident happened and they immediately started chasing him. The thief and policeman run at the rate of 10 kmph and 11 kmph respectively. After certain time police captures the thief. Find out the distance between the thief and police before 12 minutes of the thief’s capture? (Assume that police and thief have followed the same path)a)200 meterb)400 meterc)120 meterd)100 meterCorrect answer is option 'A'. 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 theft occurred in the market and after stealing goods thief ran away. It took 20 minutes for police to arrive at the place where the incident happened and they immediately started chasing him. The thief and policeman run at the rate of 10 kmph and 11 kmph respectively. After certain time police captures the thief. Find out the distance between the thief and police before 12 minutes of the thief’s capture? (Assume that police and thief have followed the same path)a)200 meterb)400 meterc)120 meterd)100 meterCorrect answer is option 'A'. 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 theft occurred in the market and after stealing goods thief ran away. It took 20 minutes for police to arrive at the place where the incident happened and they immediately started chasing him. The thief and policeman run at the rate of 10 kmph and 11 kmph respectively. After certain time police captures the thief. Find out the distance between the thief and police before 12 minutes of the thief’s capture? (Assume that police and thief have followed the same path)a)200 meterb)400 meterc)120 meterd)100 meterCorrect answer is option 'A'. Can you explain this answer?.

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