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A thief is spotted by a policeman, from a distance of 200m.the policeman and thief start running at the speed of 20kmph and 16kmph. How far the police man will have to run so as to catch the thief
- a)880m
- b)650m
- c)850m
- d)none of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A thief is spotted by a policeman, from a distance of 200m.the policem...
Approach:
1. Calculate the relative speed between the policeman and the thief.
2. Determine the time taken for the policeman to catch the thief.
3. Calculate the distance the policeman needs to run to catch the thief.
Calculations:
1. Relative speed = Speed of policeman - Speed of thief
Relative speed = 20 km/h - 16 km/h = 4 km/h
2. Time taken to catch the thief:
Time = Distance / Relative speed
Time = 200m / (4 km/h * 1000m/1km * 1h/3600s) = 200 / (4 * 1000 * 1 / 3600) seconds
Time = 200 / (4 * 1000 / 3600) seconds
Time = 200 / (0.004 * 1000) seconds
Time = 200 / 4 seconds
Time = 50 seconds
3. Distance the policeman needs to run:
Distance = Speed of policeman * Time
Distance = 20 km/h * (50 s * 1h/3600s)
Distance = 20 km/h * (50/3600) h
Distance = 20 km/h * 0.0138889 h
Distance = 0.277778 km
Distance = 277.778 m
Therefore, the policeman will have to run 277.778 meters to catch the thief. The correct answer is option 'D' - none of these.
1. Calculate the relative speed between the policeman and the thief.
2. Determine the time taken for the policeman to catch the thief.
3. Calculate the distance the policeman needs to run to catch the thief.
Calculations:
1. Relative speed = Speed of policeman - Speed of thief
Relative speed = 20 km/h - 16 km/h = 4 km/h
2. Time taken to catch the thief:
Time = Distance / Relative speed
Time = 200m / (4 km/h * 1000m/1km * 1h/3600s) = 200 / (4 * 1000 * 1 / 3600) seconds
Time = 200 / (4 * 1000 / 3600) seconds
Time = 200 / (0.004 * 1000) seconds
Time = 200 / 4 seconds
Time = 50 seconds
3. Distance the policeman needs to run:
Distance = Speed of policeman * Time
Distance = 20 km/h * (50 s * 1h/3600s)
Distance = 20 km/h * (50/3600) h
Distance = 20 km/h * 0.0138889 h
Distance = 0.277778 km
Distance = 277.778 m
Therefore, the policeman will have to run 277.778 meters to catch the thief. The correct answer is option 'D' - none of these.
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Community Answer
A thief is spotted by a policeman, from a distance of 200m.the policem...
Net advantage = 4 Km is 1 hr.
i.e. 4000 m in 1 hr.
So, for 200 m advantage time required
Now, Policeman runs 20 km in 1 hr.
So in 3 min he will run
i.e. 4000 m in 1 hr.
So, for 200 m advantage time required
Now, Policeman runs 20 km in 1 hr.
So in 3 min he will run
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