Select the correct answerA thief runs at a speed of 10 m/s. A Policeman runs behind him at a speed of 12.5 m/sec but after 10 seconds the Policeman had started running. After how many meters, will the Policeman catch the thief?Options600 mtr400 mtr300 mtr500 mtr

To solve this problem, we need to calculate the distance the thief has covered before the policeman starts running and then determine how long it will take for the policeman to close that gap.

Step 1: Calculate the distance the thief has covered before the policeman starts running. The thief runs for 10 seconds at a speed of 10 m/s before the policeman starts running. So, the distance covered by the thief is: Distance = Speed x Time Distance = 10 m/s x 10 s = 100 m

Step 2: Calculate the time it takes for the policeman to catch up to the thief. The policeman runs faster than the thief, at a speed of 12.5 m/s. The difference in their speeds is: Difference = Policeman's speed - Thief's speed Difference = 12.5 m/s - 10 m/s = 2.5 m/s This means the policeman gains on the thief by 2.5 meters every second. To close a gap of 100 meters, the time it would take is: Time = Distance / Speed Time = 100 m / 2.5 m/s = 40 s

Step 3: Calculate the total distance the thief has run when the policeman catches him. The thief has been running for a total of 50 seconds (10 seconds before the policeman started and 40 seconds while the policeman was catching up). So, the total distance the thief has run is: Distance = Speed x Time Distance = 10 m/s x 50 s = 500 m

So, the policeman will catch the thief after 500 meters. The correct answer is 500 mtr.