A man rides a bicycle at 12 km/h from his house to his school and reaches 5 minutes late. Next day he increases his speed to 15 km/h and reaches 5 minutes early. Find the distance between his house and school. MCQ with Answer and Explanation

A man rides a bicycle at 12 km/h from his house to his school and reaches 5 minutes late. Next day he increases his speed to 15 km/h and reaches 5 minutes early. Find the distance between his house and school.
A. 10 km
B. 8 km
C. 12 km
D. 15 km
Answer: Option A
Solution (By JKSSB Mock Tests)
Time difference = 5 - (-5) = 10 minutes = 1/6 hour. Let distance be d. d/12 - d/15 = 1/6 => (5d - 4d)/60 = 1/6 => d/60 = 1/6 => d = 10 km.

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Practice More Time Speed and Distance Questions

Question #1
A car covers a distance of 180 km in 3 hours. What should be the increase in its speed to cover the same distance in 2 hours?
A. 30 km/h
B. 20 km/h
C. 25 km/h
D. 35 km/h

Correct Answer: Option A


Explanation:
Original speed = 180 / 3 = 60 km/h. Required speed = 180 / 2 = 90 km/h. Increase = 90 - 60 = 30 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A person travels a distance of 300 km at an average speed of 60 km/h and returns at a speed of 40 km/h. Find the average speed for the round trip.
A. 50 km/h
B. 48 km/h
C. 46 km/h
D. 52 km/h

Correct Answer: Option B


Explanation:
Average Speed = 2xy / (x + y) = (2 * 60 * 40) / (60 + 40) = 4800 / 100 = 48 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A passenger train running at 54 km/h passes through a tunnel 400 meters long in 40 seconds. Find the length of the train.
A. 180 meters
B. 240 meters
C. 200 meters
D. 220 meters

Correct Answer: Option C


Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Total distance covered in 40 seconds = 15 * 40 = 600 meters. Length of train = Total distance - Tunnel length = 600 - 400 = 200 meters.

This question belongs to: Maths Time Speed and Distance