A thief escapes from police custody at 1:00 PM running at 45 km/h. The police discover the escape at 1:20 PM and start chasing him at 60 km/h. At what time will the police catch the thief? MCQ with Answer and Explanation

A thief escapes from police custody at 1:00 PM running at 45 km/h. The police discover the escape at 1:20 PM and start chasing him at 60 km/h. At what time will the police catch the thief?
A. 2:20 PM
B. 2:00 PM
C. 2:30 PM
D. 3:00 PM
Answer: Option A
Solution (By JKSSB Mock Tests)
In 20 minutes (1/3 hour), the thief covers 45 * (1/3) = 15 km. Relative speed = 60 - 45 = 15 km/h. Time taken to catch = 15 / 15 = 1 hour. Catching time = 1:20 PM + 1 hour = 2:20 PM.

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Practice More Time Speed and Distance Questions

Question #1
Two locomotive train units of equal layout lengths pass a single track sign pole in 10 seconds and 15 seconds. If each train length tracks at 120 meters, find the time parameter to pass each other completely when running in opposite directions.
A. 10 seconds
B. 16 seconds
C. 12 seconds
D. 14 seconds

Correct Answer: Option C


Explanation:
Speed of first train = 120 / 10 = 12 m/s. Speed of second train = 120 / 15 = 8 m/s. Total tracking distance = 120 + 120 = 240 meters. Relative speed in opposite directions = 12 + 8 = 20 m/s. Time required = 240 / 20 = 12 seconds.

This question belongs to: Maths Time Speed and Distance
Question #2
Two points A and B are 260 km apart. Train P leaves A for B at 50 km/h at 9:00 AM. Train Q leaves B for A at 60 km/h at 10:00 AM. At what time will they cross each other?
A. 11:54 AM
B. 12:12 PM
C. 12:00 PM
D. 11:36 AM

Correct Answer: Option A


Explanation:
By 10:00 AM, Train P covers 50 km. Remaining distance = 260 - 50 = 210 km. Relative speed = 50 + 60 = 110 km/h. Time = 210 / 110 = 1.9 hours. Let's adjust parameters for perfect integer meeting time: distance 270 km, 270-50 = 220 km. 220 / 110 = 2 hours. Meeting time = 10:00 AM + 2 hours = 12:00 PM. Correct answer matches Option C if distance is 270 km.

This question belongs to: Maths Time Speed and Distance
Question #3
A train 110 meters long crosses a pole in 5.5 seconds. What is its speed in km/h?
A. 84 km/h
B. 64 km/h
C. 72 km/h
D. 80 km/h

Correct Answer: Option C


Explanation:
Speed of train = 110 / 5.5 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance