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. 12 km
B. 10 km
C. 15 km
D. 8 km
Answer: Option B
Solution (By JKExamLibrary)
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.

This question belongs to: Maths Time Speed and Distance

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A cartwheel has a radius of 35 cm. How many revolutions must it make to cover a total distance of 1100 meters?
A. 600
B. 400
C. 700
D. 500

Correct Answer: Option D


Explanation:
Circumference = 2 * (22/7) * 35 = 220 cm = 2.2 meters. Total distance = 1100 meters. Number of revolutions = 1100 / 2.2 = 500.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A car covers a distance of 180 km at a uniform speed. If the speed is increased by 10 km/h, the journey takes 3 hours. Find the initial speed of the car.
A. 60 km/h
B. 50 km/h
C. 45 km/h
D. 55 km/h

Correct Answer: Option B


Explanation:
New speed = 180 / 3 = 60 km/h. Since the new speed is 10 km/h faster than the original speed, original speed = 60 - 10 = 50 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A civilian steps across a 600-meter long overpass bridge in exactly 5 minutes. Find his speed in km/h.
A. 6.8 km/h
B. 8.0 km/h
C. 7.6 km/h
D. 7.2 km/h

Correct Answer: Option D


Explanation:
Time = 5 minutes = 300 seconds. Speed = 600 / 300 = 2 m/s. In km/h = 2 * (18/5) = 7.2 km/h.

This question belongs to: Maths Time Speed and Distance