Question : A policeman sees a thief at a distance of 150 m. He starts chasing the thief who is running at a speed of 5 m/sec, while the policeman chases with a speed of 7 m/sec. Find the distance covered by the thief when he is caught by the policeman.
Option 1: 285 m
Option 2: 325 m
Option 3: 375 m
Option 4: 295 m
Correct Answer: 375 m
Solution : Given: The speed of the thief is = 5 m/sec Speed of the policemen = 7 m/sec The policeman sees the thief at a distance of 150 m. Let the time taken by the policeman to catch the thief be $x$ seconds. According to the question, $7x = 150 + 5x$ ⇒ $2x = 150$ ⇒ $x = 75$ seconds $\therefore$ It will take the policemen 75 seconds to catch the thief. So, the thief would have run 75 × 5 = 375 m Hence, the correct answer is 375 m.
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Question : A thief, seeing a policeman from a distance of 120 m, starts running at a speed of 7 km/hr. The policeman chases immediately with a speed of 8 km/hr and the thief is caught. What is the distance run by the thief?
Option 1: 820 m
Option 2: 780 m
Option 3: 840 m
Option 4: 800 m
Question : A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman starts chasing him. The thief and policeman run at the rate of 11 km/hr and 13 km/hr, respectively. After running for how many kilometres will the policeman be able to catch the thief?
Option 1: 1.65
Option 2: 1.85
Option 3: 1.75
Option 4: 1.95
Question : A thief is spotted by a policeman from a distance of 250 m. When the policeman starts the chase, the thief also starts running. Assuming that the speed of the thief is 10 km/h and that of the policeman is 12 km/h, how far would the thief have run before he is caught?
Option 1: 4 km
Option 2: 1.25 km
Option 3: 3 km
Option 4: 2 km
Question : A train 270 m long, is running at a speed of 36 km/hr, then it will cross a bridge of length 180 m in:
Option 1: 40 sec
Option 2: 45 sec
Option 3: 50 sec
Option 4: 35 sec
Question : In a race of 1200 m, Ram can beat Shyam by 200 m or by 20 sec. What must be the speed of Ram?
Option 1: 14 m/sec
Option 2: 12 m/sec
Option 3: 10 m/sec
Option 4: 16 m/sec
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