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10 Feb 2026, 23:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
76% (02:32) correct
24%
(02:57)
wrong
based on 76
sessions
History
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Time
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A 120-meter-long train is moving at 48 kilometers per hour, while a man is running in the opposite direction on a parallel path at 100 meters per minute. From the moment the front of the train reaches the man until the last carriage passes him, how much time will it take for the train to completely pass the man?
A. 6 seconds
B. 7.5 seconds
C. 9 seconds
D. 8 seconds
E. 10 seconds
A. 6 seconds
B. 7.5 seconds
C. 9 seconds
D. 8 seconds
E. 10 seconds
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11 Feb 2026, 00:29
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Man's speed = 100 m/min = 100 x 60/1000 = 6 kmph
Relative speed of man = 48 + 6 kmph = 54 x 1000/3600 m/s = 15 m/s
Time taken to cross = 120/15 = 8 sec
Relative speed of man = 48 + 6 kmph = 54 x 1000/3600 m/s = 15 m/s
Time taken to cross = 120/15 = 8 sec
Bunuel
11 Feb 2026, 01:28
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Key Concept: When two objects move in opposite directions, their relative speed = sum of their speeds.
Step 1: Convert Units
Train speed: 48 km/h = 48 × 1000 ÷ 3600 = 40/3 m/s
Man's speed: 100 m/min = 100 ÷ 60 = 5/3 m/s
Step 2: Find Relative Speed
Since they're moving toward each other (opposite directions):
Relative speed = 40/3 + 5/3 = 45/3 = 15 m/s
Step 3: Calculate Time
For the train to "completely pass" the man, it must cover its entire length (120 meters) relative to the man.
Time = Distance ÷ Speed = 120 ÷ 15 = 8 seconds
Answer: D
Step 1: Convert Units
Train speed: 48 km/h = 48 × 1000 ÷ 3600 = 40/3 m/s
Man's speed: 100 m/min = 100 ÷ 60 = 5/3 m/s
Step 2: Find Relative Speed
Since they're moving toward each other (opposite directions):
Relative speed = 40/3 + 5/3 = 45/3 = 15 m/s
Step 3: Calculate Time
For the train to "completely pass" the man, it must cover its entire length (120 meters) relative to the man.
Time = Distance ÷ Speed = 120 ÷ 15 = 8 seconds
Answer: D
