A shoplifter sprints from a mall sector at 6:00 PM at 12 km/h. The security detail discovers the lapse and pursues at 6:30 PM at 16 km/h. At what time will the detail intercept the shoplifter? MCQ with Answer and Explanation
A shoplifter sprints from a mall sector at 6:00 PM at 12 km/h. The security detail discovers the lapse and pursues at 6:30 PM at 16 km/h. At what time will the detail intercept the shoplifter?
A. 9:00 PM
B. 8:00 PM
C. 8:30 PM
D. 7:30 PM
Answer: Option B
Solution (By JKSSB Mock Tests)
In 30 minutes (from 6:00 to 6:30 PM), the shoplifter covers 12 * 0.5 = 6 km. Relative speed of pursuit = 16 - 12 = 4 km/h. Time to catch = 6 / 4 = 1.5 hours. Interception time = 6:30 PM + 1.5 hours = 8:00 PM.
Explanation:
Upstream speed = 24 / 4 = 6 km/h. Upstream Speed = Speed in still water - Current speed => 6 = Speed in still water - 2 => Speed in still water = 8 km/h.
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