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Bunuel
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A 120-meter-long train is moving at 48 kilometers per hour Updated on: 26 Apr 2026, 11:00
Originally posted by Bunuel on 10 Feb 2026, 23:30.
Last edited by Bunuel on 26 Apr 2026, 11:00, edited 2 times in total.
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C
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17% (03:01) correct 83% (02:34) wrong based on 87 sessions

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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. 8 seconds
D. 9 seconds
E. 10 seconds

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M47-39

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A 120-meter-long train is moving at 48 kilometers per hour Updated on: 26 Apr 2026, 10:59
Originally posted by Bunuel on 19 Feb 2026, 05:30.
Last edited by Bunuel on 26 Apr 2026, 10:59, edited 1 time in total.
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Bunuel
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
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GMAT Club Official Solution:

The train needs to cover its full length relative to the man, so use relative speed.

Train speed = 48 * 1000/60 = 800 m/min

Relative speed = 800 + 100 = 900 m/min

Time = 120/900 minutes = 2/15 minutes = 2/15 * 60 = 8 seconds

Answer: C
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A 120-meter-long train is moving at 48 kilometers per hour 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
Bunuel
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

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A 120-meter-long train is moving at 48 kilometers per hour 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
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