The speed tracking profile of an express train is exactly 25% higher than a commercial car. Both take off from terminal A together and reach terminal B, 200 km away, at the same instant. On the corridor route, the train logs a total stall of 20 minutes at checkpoints. Find the car speed. MCQ with Answer and Explanation

The speed tracking profile of an express train is exactly 25% higher than a commercial car. Both take off from terminal A together and reach terminal B, 200 km away, at the same instant. On the corridor route, the train logs a total stall of 20 minutes at checkpoints. Find the car speed.
A. 120 km/h
B. 150 km/h
C. 100 km/h
D. 140 km/h
Answer: Option A
Solution (By JKSSB Mock Tests)
Let car speed be c, then train tracking speed is 1.25c. Time difference parameter = 200/c - 200/(1.25c) = 20/60 hours = 1/3 hours. 200/c * (1 - 1/1.25) = 1/3 => 200/c * (0.25/1.25) = 1/3 => 200/c * (1/5) = 1/3 => 40/c = 1/3 => c = 120 km/h.

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Practice More Time Speed and Distance Questions

Question #1
A train 220 meters long passes a signal post in 11 seconds. How long will it take to cross a platform 300 meters long?
A. 30 seconds
B. 28 seconds
C. 24 seconds
D. 26 seconds

Correct Answer: Option D


Explanation:
Speed of train = 220 / 11 = 20 m/s. Total distance to cross platform = 220 + 300 = 520 meters. Time taken = 520 / 20 = 26 seconds.

This question belongs to: Maths Time Speed and Distance
Question #2
A car covers a distance of 200 km at a uniform speed. If the speed is increased by 10 km/h, the journey takes 4 hours. Find the initial speed of the car.
A. 50 km/h
B. 35 km/h
C. 40 km/h
D. 45 km/h

Correct Answer: Option C


Explanation:
New speed = 200 / 4 = 50 km/h. Since the new speed is 10 km/h faster than the original speed, original speed = 50 - 10 = 40 km/h.

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. 850 meters
B. 800 meters
C. 750 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