Question
Download Solution PDFA thief stole jewellery from a shop at 8:15 p.m. and left on a bike at a speed of 60 km/h. The police were informed at 8:30 p.m. If the police want to arrest the thief at 9:00 p.m., what should be the minimum speed of the police jeep?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Time when the thief stole the jewellery = 8:15 p.m.
Speed of thief's bike = 60 km/h
Time when police were informed = 8:30 p.m.
Formula used:
Minimum speed of police officer = \(\text {Distance between the thief and the police} \over \text{Time taken by police to reach the thief}\)
Calculation:
If the thief left at 8:15 p.m. and the police wants to catch him at 9:00 p.m., the time for which the thief was on the bike = 45 minutes = \(3 \over 4\) hours = 0.75 hours
Distance travelled by the thief = 60 km/h × 0.75 h = 45 km
Time taken by the police to reach the thief = 30 minutes = 0.5 hours
Thus, minimum speed of the police jeep should be = \(45\: \text{km} \over 0.5 \:\text{h}\) = (45 × 2) km/h = 90 km/h
∴ The minimum speed of the police jeep should be 90 km/h.
Last updated on Jul 19, 2025
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