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A goods train running at the speed of 126 km/hr crosses a man running at 9 km/hr in opposite direction of train in 8 second and crosses a bridge in 16 sec. If an another 220 meters long goods train cross same bridge in 16 sec, then find in what time both train cross each other when they are running in same direction?
  • a)
    284 sec
  • b)
    64 sec
  • c)
    140 sec
  • d)
    100 sec
  • e)
    104 sec
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
A goods train running at the speed of 126 km/hr crosses a man running...
Let length of goods train = L meter
ATQ,
80×S = 8640
S = 108 km/hr
Lets train takes T sec to cross each other, when both running in same direction
5T = 520
T = 104 sec
View all questions of this test
Most Upvoted Answer
A goods train running at the speed of 126 km/hr crosses a man running...

Given Data:
- Speed of goods train = 126 km/hr
- Speed of man = 9 km/hr
- Time taken to cross man = 8 seconds
- Time taken to cross bridge = 16 seconds
- Length of bridge = 220 meters

Calculations:
- Speed of train relative to man = (126 + 9) km/hr = 135 km/hr = 37.5 m/s
- Length of train = Speed x Time = 37.5 x 8 = 300 meters
- Length of train + Length of bridge = 300 + 220 = 520 meters
- Time taken to cross bridge = 16 seconds
- Speed of train = Distance/Time = 520/16 = 32.5 m/s
- Time taken to cross the bridge when another train crosses = 16 seconds
- Speed of both trains together = 32.5 m/s
- Length of both trains together = 300 + 220 = 520 meters
- Time taken to cross each other = 520/32.5 = 16 seconds

Therefore, both trains will cross each other when they are running in the same direction in 16 seconds. Hence, the correct answer is option E) 104 seconds.
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A goods train running at the speed of 126 km/hr crosses a man running at 9 km/hr in opposite direction of train in 8 second and crosses a bridge in 16 sec. If an another 220 meters long goods train cross same bridge in 16 sec, then find in what time both train cross each other when they are running in same direction?a)284 secb)64 secc)140 secd)100 sece)104 secCorrect answer is option 'E'. Can you explain this answer?
Question Description
A goods train running at the speed of 126 km/hr crosses a man running at 9 km/hr in opposite direction of train in 8 second and crosses a bridge in 16 sec. If an another 220 meters long goods train cross same bridge in 16 sec, then find in what time both train cross each other when they are running in same direction?a)284 secb)64 secc)140 secd)100 sece)104 secCorrect answer is option 'E'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A goods train running at the speed of 126 km/hr crosses a man running at 9 km/hr in opposite direction of train in 8 second and crosses a bridge in 16 sec. If an another 220 meters long goods train cross same bridge in 16 sec, then find in what time both train cross each other when they are running in same direction?a)284 secb)64 secc)140 secd)100 sece)104 secCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A goods train running at the speed of 126 km/hr crosses a man running at 9 km/hr in opposite direction of train in 8 second and crosses a bridge in 16 sec. If an another 220 meters long goods train cross same bridge in 16 sec, then find in what time both train cross each other when they are running in same direction?a)284 secb)64 secc)140 secd)100 sece)104 secCorrect answer is option 'E'. Can you explain this answer?.
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