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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