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. 5 km
B. 3 km
C. 4 km
D. 6 km
Answer: Option C
Solution (By JKSSB Mock Tests)
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.

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Practice More Time Speed and Distance Questions

Question #1
A train passes a static platform signal mast in 15 seconds and clears the 250-meter platform sector itself in 25 seconds. Find the length of the train.
A. 325 meters
B. 350 meters
C. 375 meters
D. 400 meters

Correct Answer: Option C


Explanation:
Time allocated to clear the platform alone = 25 - 15 = 10 seconds. Speed of train = 250 / 10 = 25 m/s. Length of train = Speed * Time to pass mast = 25 * 15 = 375 meters.

This question belongs to: Maths Time Speed and Distance
Question #2
Two cars A and B leave an intersection simultaneously. A travels North at 45 km/h and B travels East at 60 km/h. Find the direct distance between them after 1 hour.
A. 80 km
B. 85 km
C. 75 km
D. 70 km

Correct Answer: Option C


Explanation:
In 1 hour, distance covered by A = 45 km, and by B = 60 km. Direct distance = sqrt(45^2 + 60^2) = sqrt(2025 + 3600) = sqrt(5625) = 75 km.

This question belongs to: Maths Time Speed and Distance
Question #3
A car travels at a speed of 54 km/h. What is its speed expressed in meters per second?
A. 10 m/s
B. 18 m/s
C. 12 m/s
D. 15 m/s

Correct Answer: Option D


Explanation:
To convert km/h to m/s, multiply by 5/18. Speed = 54 * (5/18) = 3 * 5 = 15 m/s.

This question belongs to: Maths Time Speed and Distance