Question
Download Solution PDFA policeman notices a thief from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the speeds of 10 km/h and 12 km/h, respectively. What will be the distance between them (in m) after 6 minutes?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A policeman notices a thief from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the speeds of 10 km/h and 12 km/h, respectively.
Formula used:
Relative speed = Speed of policeman - Speed of thief
Distance covered in time = Relative speed × Time
Distance between them after time = Initial distance - Distance covered in time
Calculation:
Relative speed = 12 km/h - 10 km/h = 2 km/h
Time = 6 minutes = 6/60 hours = 1/10 hours
⇒ Distance covered in time = 2 km/h × (1/10) hours
⇒ Distance covered in time = 2 × 0.1 = 0.2 km = 200 m
⇒ Distance between them after 6 minutes = 300 m - 200 m
⇒ Distance between them after 6 minutes = 100 m
∴ The correct answer is option (4).
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