Question : A thief stole jewelry from a shop at 8:15 p.m. and left on a bike at a speed of 60 km/hr. 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?
Option 1: 60 km/hr
Option 2: 75 km/hr
Option 3: 80 km/hr
Option 4: 90 km/hr
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Correct Answer: 90 km/hr
Solution :
Total time travelled by the thief = 9:00 - 8:15 = 45 min = $\frac{3}{4}$ hour
Speed of thief = 60 km/hr
Distance travelled = 60 × $\frac{3}{4}$ = 45 km
Total time travelled by the thief = 9:00 - 8:30 = 30 min = $\frac{1}{2}$ hour
Speed of police = $\frac{45}{\frac{1}{2}}$ = 90 km/hr
Hence, the correct answer is 90 km/hr.
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