Two cyclists start from the same place in opposite directions. One goes towards North at 18 km/h and the other goes South at 22 km/h. What is the distance between them after 30 minutes? MCQ with Answer and Explanation

Two cyclists start from the same place in opposite directions. One goes towards North at 18 km/h and the other goes South at 22 km/h. What is the distance between them after 30 minutes?
A. 30 km
B. 25 km
C. 15 km
D. 20 km
Answer: Option D
Solution (By JKSSB Mock Tests)
Relative speed in opposite directions = 18 + 22 = 40 km/h. Time = 30 minutes = 0.5 hours. Distance = 40 * 0.5 = 20 km.

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Practice More Time Speed and Distance Questions

Question #1
The speed of two cars are in the ratio 3 : 4. If the second car takes 3 hours to cover a certain distance, how much time will the first car take to cover the same distance?
A. 5 hours
B. 4.5 hours
C. 4 hours
D. 3.5 hours

Correct Answer: Option C


Explanation:
Ratio of speeds = 3:4. Ratio of time taken (inverse of speed) = 4:3. Given 3 parts = 3 hours for the second car. Thus, 4 parts = 4 hours for the first car.

This question belongs to: Maths Time Speed and Distance
Question #2
A train passes a static observer in 8 seconds and a platform 120 meters long in 14 seconds. Find the length of the train.
A. 200 meters
B. 160 meters
C. 180 meters
D. 150 meters

Correct Answer: Option B


Explanation:
Time to cross the platform alone = 14 - 8 = 6 seconds. Speed of train = 120 / 6 = 20 m/s. Length of train = Speed * Time to pass observer = 20 * 8 = 160 meters.

This question belongs to: Maths Time Speed and Distance
Question #3
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. 850 meters
D. 900 meters

Correct Answer: Option B


Explanation:
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