A thief is noticed by a policeman from a distance of 200 meters. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/h and 11 km/h respectively. What is the distance between them after 6 minutes? MCQ with Answer and Explanation

A thief is noticed by a policeman from a distance of 200 meters. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/h and 11 km/h respectively. What is the distance between them after 6 minutes?
A. 190 meters
B. 150 meters
C. 180 meters
D. 100 meters
Answer: Option D
Solution (By JKSSB Mock Tests)
Relative speed = 11 - 10 = 1 km/h = 1 * (5/18) = 5/18 m/s. Distance covered in 6 minutes (360 seconds) = (5/18) * 360 = 100 meters. Remaining distance = 200 - 100 = 100 meters.

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Practice More Time Speed and Distance Questions

Question #1
A standard boat can row 12 km/h in still water. If the speed of the current is 2 km/h, find the time required to log 30 km upstream.
A. 4.0 hours
B. 2.5 hours
C. 3.0 hours
D. 3.5 hours

Correct Answer: Option C


Explanation:
Upstream speed = 12 - 2 = 10 km/h. Time required = Distance / Upstream speed = 30 / 10 = 3 hours.

This question belongs to: Maths Time Speed and Distance
Question #2
Two marathoners run a long stretch. The winner finishes in 50 minutes while the second runner takes 55 minutes. By what percentage is the winner's speed higher than the runner-up's speed?
A. 15%
B. 8%
C. 10%
D. 12%

Correct Answer: Option C


Explanation:
Since distance is constant, speed is inversely proportional to time. Ratio of times Winner:Runner-up = 50:55 = 10:11. Ratio of speeds Winner:Runner-up = 11:10. Speed excess percentage = ((11 - 10) / 10) * 100 = 10%.

This question belongs to: Maths Time Speed and Distance
Question #3
A truck covers a distance of 240 km in 4 hours. How much time will it take to cover a distance of 180 km at the same speed?
A. 4.0 hours
B. 3.0 hours
C. 3.5 hours
D. 2.5 hours

Correct Answer: Option B


Explanation:
Speed of truck = 240 / 4 = 60 km/h. Time taken for 180 km = 180 / 60 = 3 hours.

This question belongs to: Maths Time Speed and Distance