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A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 m ahead of the policeman, then the time required for the policeman to catch the thief will be
  • a)
    2 min
  • b)
    3 min
  • c)
    4 min
  • d)
    6 min
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A thief running at 8 km/hr is chased by a policeman whose speed is 10 ...
Use relative speed concept. Relative speed of policeman w.r.t the thief is 2 Km/hr (10-8). His Speed in m/min will be (2 X1000)/60 = 100/3 m/min He has to cover 100 m. So time needed is 3 mins.
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Most Upvoted Answer
A thief running at 8 km/hr is chased by a policeman whose speed is 10 ...
The problem gives us the speeds of the thief and the policeman, as well as the initial distance between them. We need to determine the time it takes for the policeman to catch the thief.

Let's break down the problem into smaller steps:

Step 1: Determine the relative speed
To find the relative speed between the thief and the policeman, we subtract the thief's speed from the policeman's speed:
Relative Speed = Policeman's Speed - Thief's Speed
Relative Speed = 10 km/hr - 8 km/hr
Relative Speed = 2 km/hr

Step 2: Convert the relative speed to meters per hour
Since the initial distance given is in meters, we need to convert the relative speed to meters per hour:
Relative Speed (in meters per hour) = Relative Speed (in km/hr) * 1000
Relative Speed (in meters per hour) = 2 km/hr * 1000
Relative Speed (in meters per hour) = 2000 meters/hr

Step 3: Calculate the time required to cover the initial distance
To determine the time it takes for the policeman to cover the initial distance of 100 meters, we divide the distance by the relative speed:
Time = Distance / Relative Speed
Time = 100 meters / 2000 meters/hr
Time = 1/20 hr

Step 4: Convert the time to minutes
Since the options given are in minutes, we need to convert the time from hours to minutes:
Time (in minutes) = Time (in hours) * 60
Time (in minutes) = (1/20 hr) * 60
Time (in minutes) = 3 minutes

Therefore, the time required for the policeman to catch the thief is 3 minutes. Hence, the correct answer is option B.
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A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 m ahead of the policeman, then the time required for the policeman to catch the thief will bea)2 minb)3 minc)4 mind)6 minCorrect answer is option 'B'. Can you explain this answer?
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