A hound pursues a fox that is initially 150 meters ahead. The fox flies at 30 km/h and the hound targets at 36 km/h. Find the total distance the fox runs before capture. MCQ with Answer and Explanation

A hound pursues a fox that is initially 150 meters ahead. The fox flies at 30 km/h and the hound targets at 36 km/h. Find the total distance the fox runs before capture.
A. 850 meters
B. 800 meters
C. 750 meters
D. 700 meters
Answer: Option C
Solution (By JKSSB Mock Tests)
Relative speed = 36 - 30 = 6 km/h = 5/3 m/s. Time required for capture = 150 / (5/3) = 90 seconds. Distance run by fox = Speed * Time = [30 * (5/18)] * 90 = (25/3) * 90 = 750 meters.

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Practice More Time Speed and Distance Questions

Question #1
How long will a person take to walk around a square field of side 45 meters if his speed is 9 km/h?
A. 90 seconds
B. 64 seconds
C. 80 seconds
D. 72 seconds

Correct Answer: Option D


Explanation:
Perimeter of the square field = 4 * 45 = 180 meters. Speed = 9 km/h = 9 * (5/18) = 2.5 m/s. Time = Distance / Speed = 180 / 2.5 = 72 seconds.

This question belongs to: Maths Time Speed and Distance
Question #2
A man rows a distance of 12 km downstream in 1.5 hours and returns upstream in 3 hours. Find the speed of the river current.
A. 2.0 km/h
B. 2.5 km/h
C. 2.2 km/h
D. 1.8 km/h

Correct Answer: Option A


Explanation:
Downstream speed = 12 / 1.5 = 8 km/h. Upstream speed = 12 / 3 = 4 km/h. Speed of current = (8 - 4) / 2 = 4 / 2 = 2 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A train running at the speed of 60 km/h crosses a pole in 9 seconds. What is the length of the train?
A. 150 meters
B. 200 meters
C. 120 meters
D. 180 meters

Correct Answer: Option A


Explanation:
Speed = 60 * (5/18) = 50/3 m/s. Length = Speed * Time = (50/3) * 9 = 150 meters.

This question belongs to: Maths Time Speed and Distance