A dog sees a cat at a distance of 150 meters. The cat starts running at 12 km/h and the dog chases it at 15 km/h. How much distance will the cat cover before being caught? MCQ with Answer and Explanation

A dog sees a cat at a distance of 150 meters. The cat starts running at 12 km/h and the dog chases it at 15 km/h. How much distance will the cat cover before being caught?
A. 900 meters
B. 750 meters
C. 500 meters
D. 600 meters
Answer: Option D
Solution (By JKExamLibrary)
Relative speed = 15 - 12 = 3 km/h = 3 * (5/18) = 5/6 m/s. Time to catch = 150 / (5/6) = 180 seconds. Distance covered by cat = Speed of cat * Time = (12 * 5/18) * 180 = (10/3) * 180 = 600 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 boat moves upstream at a pace of 10 km/h and handles downstream at 16 km/h. Find the speed of the river current.
A. 3.5 km/h
B. 2.5 km/h
C. 3.0 km/h
D. 4.0 km/h

Correct Answer: Option C


Explanation:
Speed of river current = (Downstream speed - Upstream speed) / 2 = (16 - 10) / 2 = 6 / 2 = 3 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
Two trains 110 meters and 90 meters long are running in opposite directions at speeds of 36 km/h and 54 km/h respectively. In what time will they pass each other completely?
A. 6 seconds
B. 8 seconds
C. 10 seconds
D. 12 seconds

Correct Answer: Option B


Explanation:
Total distance = 110 + 90 = 200 meters. Relative speed in opposite directions = 36 + 54 = 90 km/h = 90 * (5/18) = 25 m/s. Time taken = 200 / 25 = 8 seconds.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A boat moves upstream at a speed of 11 km/h and downstream at 16 km/h. Find the speed of the boat in still water.
A. 12.5 km/h
B. 14 km/h
C. 13.5 km/h
D. 14.5 km/h

Correct Answer: Option C


Explanation:
Speed in still water = (Downstream speed + Upstream speed) / 2 = (16 + 11) / 2 = 27 / 2 = 13.5 km/h.

This question belongs to: Maths Time Speed and Distance