Question
Download Solution PDFA policeman chases a thief. The speed of the policeman and thief are 18 km/h and 6 km/h, respectively. If the policeman started 10 minutes late, at what distance will he catch the thief?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of Policeman = 18 km/h
Speed of Thief = 6 km/h
Time delay for Policeman = 10 minutes = 10/60 hours = 1/6 hours
Formula used:
Distance = Speed × Time
Calculations:
Distance covered by Thief in 1/6 hours = 6 km/h × 1/6 hours
⇒ Distance = 1 km
Relative speed of Policeman with respect to Thief = 18 km/h - 6 km/h
⇒ Relative speed = 12 km/h
Time taken to catch the Thief = Distance / Relative speed
⇒ Time = 1 km / 12 km/h
⇒ Time = 1/12 hours
Distance covered by Policeman in this time = 18 km/h × 1/12 hours
⇒ Distance = 1.5 km
∴ The correct answer is option (2).
Last updated on Jul 21, 2025
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