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Two trains, each 100 m long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is
- a)75 km/hr
- b)60 km/hr
- c)35 km/hr
- d)70 km/hr
Correct answer is option 'B'. Can you explain this answer?
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Two trains, each 100 m long are moving in opposite directions. They cr...
Most Upvoted Answer
Two trains, each 100 m long are moving in opposite directions. They cr...
200m in 8 sec.
So speed of train = 200/8
let speed of slow train = x
speed of fast train = 2x
2x + x = 200/8
3x = 200/8
x = 200/24
so 2x = 200/12m/s = 200×18/5x12 = 60 Km/h
So speed of train = 200/8
let speed of slow train = x
speed of fast train = 2x
2x + x = 200/8
3x = 200/8
x = 200/24
so 2x = 200/12m/s = 200×18/5x12 = 60 Km/h
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Two trains, each 100 m long are moving in opposite directions. They cr...
Given information:
- Length of each train = 100 m
- Time taken to cross each other = 8 seconds
- One train is moving twice as fast as the other
Approach:
- Let the speed of the slower train be x m/s
- Speed of faster train = 2x m/s
- Relative speed = (x + 2x) m/s = 3x m/s
- Distance covered in crossing = 100 m + 100 m = 200 m
- Time taken to cross = 8 seconds
Calculation:
- Speed = Distance/Time
- 3x = 200/8
- 3x = 25
- x = 25/3 = 8.33 m/s (speed of slower train)
- Speed of faster train = 2 * 8.33 = 16.67 m/s
Converting speed to km/hr:
- Speed in km/hr = (speed in m/s) * 18/5
- Speed of faster train = 16.67 * 18/5 = 60 km/hr
Therefore, the speed of the faster train is 60 km/hr, which corresponds to option b.
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Two trains, each 100 m long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is a)75 km/hrb)60 km/hrc)35 km/hr d)70 km/hrCorrect answer is option 'B'. Can you explain this answer?
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