A constable is 150 meter behind a thief. The constable is running at 27 m/min and the thief was running at 12 m/min. In how much time (in sec) will the constable catch up with the thief?
Question
A constable is 150 meter behind a thief. The constable is running at 27 m/min and the thief was running at 12 m/min. In how much time (in sec) will the constable catch up with the thief?
Solution
To solve this problem, we first need to understand that the constable and the thief are moving in the same direction. The constable is faster than the thief, so he is catching up at a rate of (27 m/min - 12 m/min) = 15 m/min.
Next, we need to convert this speed from meters per minute to meters per second because the question asks for the time in seconds. There are 60 seconds in a minute, so the constable is catching up at a rate of 15 m/min ÷ 60 = 0.25 m/sec.
The constable is 150 meters behind the thief, so to find out how long it will take to catch up, we divide the distance by the speed: 150 m ÷ 0.25 m/sec = 600 seconds.
So, the constable will catch up with the thief in 600 seconds.
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