Select the correct answerA thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?radio_button_unchecked100 mradio_button_unchecked150 mradio_button_unchecked190 mradio_button_unchecked200 m
Question
Select the correct answerA thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?radio_button_unchecked100 mradio_button_unchecked150 mradio_button_unchecked190 mradio_button_unchecked200 m
Solution
To solve this problem, we first need to convert the speeds from km/hour to m/minute because the distance is given in meters and the time in minutes.
1 km = 1000 m 1 hour = 60 minutes
So, the thief's speed = 10 km/hour = 10 * 1000 m/60 minutes = 166.67 m/minute The policeman's speed = 11 km/hour = 11 * 1000 m/60 minutes = 183.33 m/minute
In 6 minutes, the thief will cover = 166.67 m/minute * 6 minutes = 1000 m In the same time, the policeman will cover = 183.33 m/minute * 6 minutes = 1100 m
The initial distance between them was 200 m. So, after 6 minutes, the distance between them will be = Initial distance + Distance covered by thief - Distance covered by policeman = 200 m + 1000 m - 1100 m = 100 m
So, the correct answer is 100 m.
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