A dog spots a rabbit 200 meters away. The rabbit speeds off at 24 km/h and the dog pursues at 30 km/h. How much distance will the rabbit run before it is caught? MCQ with Answer and Explanation

A dog spots a rabbit 200 meters away. The rabbit speeds off at 24 km/h and the dog pursues at 30 km/h. How much distance will the rabbit run before it is caught?
A. 750 meters
B. 800 meters
C. 900 meters
D. 850 meters
Answer: Option B
Solution (By JKExamLibrary)
Relative speed = 30 - 24 = 6 km/h = 6 * (5/18) = 5/3 m/s. Time to catch = 200 / (5/3) = 120 seconds. Distance run by rabbit = Speed * Time = [24 * (5/18)] * 120 = (20/3) * 120 = 800 meters.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
A container ship routes a distance of 120 nautical miles at a speed of 15 knots (nautical miles per hour). Find the total time of the passage.
A. 6 hours
B. 12 hours
C. 8 hours
D. 10 hours

Correct Answer: Option C


Explanation:
Time = Distance / Speed = 120 / 15 = 8 hours.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
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. 12 km
C. 8 km
D. 15 km

Correct Answer: Option A


Explanation:
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
Question #3 Report Error
An athlete runs a 200-meter race in 24 seconds. Find his speed in km/h.
A. 30 km/h
B. 24 km/h
C. 28.5 km/h
D. 33.33 km/h

Correct Answer: Option A


Explanation:
Speed in m/s = 200 / 24 = 25/3 m/s. To convert to km/h, multiply by 18/5. Speed = (25/3) * (18/5) = 5 * 6 = 30 km/h.

This question belongs to: Maths Time Speed and Distance