If a student walks from his house to school at 5 km/h, he is late by 10 minutes. However, if he walks at 6 km/h, he is late by only 2 minutes. Find the distance between his house and school. MCQ with Answer and Explanation

If a student walks from his house to school at 5 km/h, he is late by 10 minutes. However, if he walks at 6 km/h, he is late by only 2 minutes. Find the distance between his house and school.
A. 6 km
B. 3 km
C. 4 km
D. 5 km
Answer: Option C
Solution (By JKExamLibrary)
Time difference = 10 - 2 = 8 minutes = 8/60 hour = 2/15 hour. Let distance be d. d/5 - d/6 = 2/15 => d/30 = 2/15 => d = 60/15 = 4 km.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
If a person covers a distance of 150 km in 4 hours, find his speed in meters per second.
A. 12.50 m/s
B. 10.41 m/s
C. 9.81 m/s
D. 11.24 m/s

Correct Answer: Option B


Explanation:
Speed = 150 / 4 = 37.5 km/h. Converting to m/s = 37.5 * (5/18) = 187.5 / 18 = 10.41 m/s.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
Two trains 120 meters and 130 meters long are running in opposite directions at speeds of 45 km/h and 45 km/h respectively. In what time will they cross each other?
A. 10 seconds
B. 9 seconds
C. 11 seconds
D. 12 seconds

Correct Answer: Option A


Explanation:
Total distance = 120 + 130 = 250 meters. Relative speed in opposite directions = 45 + 45 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A train 180 meters long passes a pole in 9 seconds. What is the speed of the train in km/h?
A. 72 km/h
B. 84 km/h
C. 64 km/h
D. 80 km/h

Correct Answer: Option A


Explanation:
Speed of train = 180 / 9 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance