Question
Download Solution PDFA policeman follows a thief 1800 metres ahead of him. If the policeman and the thief run at a speed of 12 km/h and 9 km/h, respectively, how much distance thief will cover from spotting point (1800 meters ahead to policeman) before catch by policeman?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A policeman follows a thief 1800 metres ahead of him.
Policeman's speed = 12 km/h
Thief's speed = 9 km/h
Formula used:
Relative speed = Policeman's speed - Thief's speed
Time = Distance / Relative speed
Distance covered by thief = Thief's speed × Time
Calculation:
Relative speed = 12 km/h - 9 km/h = 3 km/h
Time = 1800 meters / (3 km/h) = 1800 meters / (3 × 1000 meters/hour)
⇒ Time = 1800 / 3000 hours
⇒ Time = 0.6 hours
Distance covered by thief = 9 km/h × 0.6 hours
⇒ Distance covered by thief = 5.4 km
⇒ Distance covered by thief = 5400 meters
∴ The correct answer is option (4).
Last updated on Dec 9, 2024
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