An officer walks to his workplace at 4 km/h and arrives 12 minutes late. If he scales up his speed to 5 km/h, he arrives 6 minutes early. Find the distance to his office. MCQ with Answer and Explanation

An officer walks to his workplace at 4 km/h and arrives 12 minutes late. If he scales up his speed to 5 km/h, he arrives 6 minutes early. Find the distance to his office.
A. 5 km
B. 7 km
C. 6 km
D. 8 km
Answer: Option C
Solution (By JKSSB Mock Tests)
Time difference = 12 - (-6) = 18 minutes = 18/60 = 3/10 hours. Let distance be d. d/4 - d/5 = 3/10 => d/20 = 3/10 => d = 6 km.

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Practice More Time Speed and Distance Questions

Question #1
A dog sees a cat at a distance of 150 meters. The cat starts running at 12 km/h and the dog chases it at 15 km/h. How much distance will the cat cover before being caught?
A. 750 meters
B. 500 meters
C. 900 meters
D. 600 meters

Correct Answer: Option D


Explanation:
Relative speed = 15 - 12 = 3 km/h = 3 * (5/18) = 5/6 m/s. Time to catch = 150 / (5/6) = 180 seconds. Distance covered by cat = Speed of cat * Time = (12 * 5/18) * 180 = (10/3) * 180 = 600 meters.

This question belongs to: Maths Time Speed and Distance
Question #2
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. 2.5 hours
D. 3.5 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
Question #3
A man covers 1/3rd of his journey at 20 km/h and the remaining 2/3rd at 40 km/h. If the total distance is 120 km, find the total time taken for the journey.
A. 4.5 hours
B. 4 hours
C. 3.5 hours
D. 5 hours

Correct Answer: Option B


Explanation:
First part distance = 120 / 3 = 40 km. Time1 = 40 / 20 = 2 hours. Remaining distance = 80 km. Time2 = 80 / 40 = 2 hours. Total time = 2 + 2 = 4 hours.

This question belongs to: Maths Time Speed and Distance