A high-speed train covers a distance between two terminals at 300 km/h in 4 hours. At what speed must it travel to cover the same distance in 3 hours and 20 minutes? MCQ with Answer and Explanation

A high-speed train covers a distance between two terminals at 300 km/h in 4 hours. At what speed must it travel to cover the same distance in 3 hours and 20 minutes?
A. 400 km/h
B. 350 km/h
C. 375 km/h
D. 360 km/h
Answer: Option D
Solution (By JKSSB Mock Tests)
Distance = Speed * Time = 300 * 4 = 1200 km. New time = 3 hours 20 minutes = 10/3 hours. New required speed = Distance / New time = 1200 / (10/3) = 1200 * 3 / 10 = 360 km/h.

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Practice More Time Speed and Distance Questions

Question #1
Two locomotive train units 150 meters and 100 meters long are running along parallel track loops in identical directions at speeds of 56 km/h and 46 km/h respectively. In what timeframe will the faster train clear the slower train completely?
A. 100 seconds
B. 90 seconds
C. 110 seconds
D. 80 seconds

Correct Answer: Option B


Explanation:
Total path distance = 150 + 100 = 250 meters. Relative speed index in same direction = 56 - 46 = 10 km/h = 10 * (5/18) = 25/9 m/s. Time required = 250 / (25/9) = 250 * 9 / 25 = 90 seconds.

This question belongs to: Maths Time Speed and Distance
Question #2
A delivery sedan logs a trip of 240 km at an average speed of 60 km/h. It travels the first 120 km at 40 km/h. Find the speed for the remaining 120 km.
A. 120 km/h
B. 75 km/h
C. 150 km/h
D. 140 km/h

Correct Answer: Option A


Explanation:
Total time for full trip = 240 / 60 = 4 hours. Time spent on first 120 km = 120 / 40 = 3 hours. Remaining time for the last 120 km = 4 - 3 = 1 hour. Required speed = 120 km / 1 hour = 120 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A train running at 54 km/h takes 20 seconds to pass a bridge. Next, it passes a man walking at 6 km/h in the same direction in 12 seconds. Find the length of the bridge.
A. 150 meters
B. 140 meters
C. 120 meters
D. 160 meters

Correct Answer: Option B


Explanation:
Speed of train = 54 km/h = 15 m/s. Speed of man = 6 km/h = 5/3 m/s. Relative speed = 15 - 5/3 = 40/3 m/s. Length of train = Relative speed * time = (40/3) * 12 = 160 meters. To pass bridge: Total distance = Length of train + Length of bridge = 15 m/s * 20 seconds = 300 meters. Length of bridge = 300 - 160 = 140 meters.

This question belongs to: Maths Time Speed and Distance