A person walks from his house to office at 5 km/h and arrives 12 minutes late. If he walks at 6 km/h, he arrives 2 minutes late. Find the distance. MCQ with Answer and Explanation

A person walks from his house to office at 5 km/h and arrives 12 minutes late. If he walks at 6 km/h, he arrives 2 minutes late. Find the distance.
A. 4.5 km
B. 6.0 km
C. 5.0 km
D. 5.5 km
Answer: Option C
Solution (By JKSSB Mock Tests)
Time difference = 12 - 2 = 10 minutes = 10/60 = 1/6 hours. Let distance be d. d / 5 - d / 6 = 1/6 => d / 30 = 1/6 => d = 5 km.

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Practice More Time Speed and Distance Questions

Question #1
A cyclist covers 500 meters in 2 minutes. What is his speed in km/h?
A. 16 km/h
B. 18 km/h
C. 12 km/h
D. 15 km/h

Correct Answer: Option D


Explanation:
Time = 2 minutes = 120 seconds. Speed = 500 / 120 = 25/6 m/s. In km/h = (25/6) * (18/5) = 5 * 3 = 15 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
The speeds of two cars are in the ratio 5 : 4. If they cover the same distance, and the slower car takes 2.5 hours, how much time does the faster car take?
A. 2.0 hours
B. 2.4 hours
C. 1.8 hours
D. 2.2 hours

Correct Answer: Option A


Explanation:
Ratio of speeds = 5:4, so ratio of times taken = 4:5. The slower car corresponds to 5 parts = 2.5 hours => 1 part = 0.5 hours. Time for the faster car = 4 parts = 4 * 0.5 = 2 hours.

This question belongs to: Maths Time Speed and Distance
Question #3
A container ship routes a distance of 120 nautical miles at a speed of 15 knots (nautical miles per hour). Find the total time of the passage.
A. 12 hours
B. 10 hours
C. 6 hours
D. 8 hours

Correct Answer: Option D


Explanation:
Time = Distance / Speed = 120 / 15 = 8 hours.

This question belongs to: Maths Time Speed and Distance