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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


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 840 m


Solution : The relative speed of the policeman and the thief = 8 – 7 = 1 km/hr = 1 × $\frac{5}{18}$ m/s = $\frac{5}{18}$ m/s
The time it takes for the policeman to catch the thief = $\frac{120}{\frac{5}{18}}$ = 432 s
The speed of the thief = 7 km/hr = 7 × $\frac{5}{18}$ m/s = $\frac{35}{18}$ m/s
$\therefore$ The distance run by the thief = $\frac{35}{18}$ × 432 = 840 m
Hence, the correct answer is 840 m.

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