A person walks from his home to his shop at a speed of 5 km/h and arrives 6 minutes early. If he walks at 4 km/h, he arrives 6 minutes late. Find the distance between his home and shop. MCQ with Answer and Explanation

A person walks from his home to his shop at a speed of 5 km/h and arrives 6 minutes early. If he walks at 4 km/h, he arrives 6 minutes late. Find the distance between his home and shop.
A. 6 km
B. 5 km
C. 3 km
D. 4 km
Answer: Option D
Solution (By JKSSB Mock Tests)
Time difference = 6 - (-6) = 12 minutes = 12/60 = 1/5 hour. Let distance be d. d/4 - d/5 = 1/5 => d/20 = 1/5 => d = 4 km.

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Practice More Time Speed and Distance Questions

Question #1
A shoplifter sprints from a mall sector at 6:00 PM at 12 km/h. The security detail discovers the lapse and pursues at 6:30 PM at 16 km/h. At what time will the detail intercept the shoplifter?
A. 8:30 PM
B. 8:00 PM
C. 9:00 PM
D. 7:30 PM

Correct Answer: Option B


Explanation:
In 30 minutes (from 6:00 to 6:30 PM), the shoplifter covers 12 * 0.5 = 6 km. Relative speed of pursuit = 16 - 12 = 4 km/h. Time to catch = 6 / 4 = 1.5 hours. Interception time = 6:30 PM + 1.5 hours = 8:00 PM.

This question belongs to: Maths Time Speed and Distance
Question #2
Excluding stoppages, the speed of a bus is 54 km/h and including stoppages, it is 45 km/h. For how many minutes does the bus stop per hour?
A. 10 minutes
B. 9 minutes
C. 15 minutes
D. 12 minutes

Correct Answer: Option A


Explanation:
Stoppage time per hour = (Fast Speed - Slow Speed) / Fast Speed = (54 - 45) / 54 = 9 / 54 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance
Question #3
A car runs at 60 km/h for 2 hours and then at 40 km/h for another 3 hours. Find the average speed of the car for the entire journey.
A. 50 km/h
B. 48 km/h
C. 52 km/h
D. 46 km/h

Correct Answer: Option B


Explanation:
Distance 1 = 60 * 2 = 120 km. Distance 2 = 40 * 3 = 120 km. Total distance = 240 km. Total time = 2 + 3 = 5 hours. Average speed = 240 / 5 = 48 km/h.

This question belongs to: Maths Time Speed and Distance