A high-speed train clears a stationary post column signal mast in 8 seconds and clears across the full station platform itself, which measures 240 meters long, in 20 seconds. Find the speed index of the train in km/h. MCQ with Answer and Explanation

A high-speed train clears a stationary post column signal mast in 8 seconds and clears across the full station platform itself, which measures 240 meters long, in 20 seconds. Find the speed index of the train in km/h.
A. 84 km/h
B. 64 km/h
C. 80 km/h
D. 72 km/h
Answer: Option D
Solution (By JKSSB Mock Tests)
Time taken to cross the platform span alone = 20 - 8 = 12 seconds. Speed of train = 240 / 12 = 20 m/s. In km/h index = 20 * (18/5) = 72 km/h.

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Practice More Time Speed and Distance Questions

Question #1
The speed of a train is 20% more than the speed of a car. Both start from point A at the same time and reach point B, 120 km away, at the same time. On the way, however, the train lost about 10 minutes while stopping at the stations. What is the speed of the car?
A. 140 km/h
B. 120 km/h
C. 100 km/h
D. 80 km/h

Correct Answer: Option B


Explanation:
Let car speed be c, then train speed is 1.2c. Time difference = 120/c - 120/(1.2c) = 10/60 hour. 120/c * (1 - 1/1.2) = 1/6 => 120/c * (0.2/1.2) = 1/6 => 120/c * (1/6) = 1/6 => c = 120 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A high-speed train travels at 162 km/h. How many meters does it cover in exactly 8 seconds?
A. 360 meters
B. 380 meters
C. 400 meters
D. 320 meters

Correct Answer: Option A


Explanation:
Speed in m/s = 162 * (5/18) = 9 * 5 = 45 m/s. Distance covered in 8 seconds = 45 * 8 = 360 meters.

This question belongs to: Maths Time Speed and Distance
Question #3
Two trains 140 meters and 160 meters long are running in opposite directions at speeds of 50 km/h and 58 km/h respectively. In what time will they cross each other?
A. 12 seconds
B. 11 seconds
C. 10 seconds
D. 9 seconds

Correct Answer: Option C


Explanation:
Total distance = 140 + 160 = 300 meters. Relative speed in opposite directions = 50 + 58 = 108 km/h = 30 m/s. Time taken = 300 / 30 = 10 seconds.

This question belongs to: Maths Time Speed and Distance