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. 6 km
B. 5 km
C. 8 km
D. 7 km
Answer: Option A
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 motorboat travels 24 km downstream in 2 hours and covers the same distance upstream in 3 hours. Find the speed of the current.
A. 1.5 km/h
B. 3 km/h
C. 2 km/h
D. 2.5 km/h

Correct Answer: Option C


Explanation:
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 24 / 3 = 8 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (12 - 8) / 2 = 2 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A sound wave travels at a speed of 340 m/s. Find the distance covered by the wave in 10 seconds.
A. 3.2 km
B. 3.6 km
C. 3.4 km
D. 3.8 km

Correct Answer: Option C


Explanation:
Distance = Speed * Time = 340 * 10 = 3400 meters = 3.4 km.

This question belongs to: Maths Time Speed and Distance
Question #3
A cyclist covers 400 meters in 1 minute 20 seconds. What is his speed in km/h?
A. 20 km/h
B. 15 km/h
C. 24 km/h
D. 18 km/h

Correct Answer: Option D


Explanation:
Time = 1 minute 20 seconds = 80 seconds. Speed = 400 / 80 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.

This question belongs to: Maths Time Speed and Distance