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A 100-metre long train crossed a milestone in 10 seconds. It crossed another train of the same length as its own in 8 seconds. If both the trains travelled in opposite directions, what is the distance travelled by the second train in 3 hours?
- a)124 km
- b)162 km
- c)184 km
- d)210 km
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A 100-metre long train crossed a milestone in 10 seconds. It crossed ...
Given:
- Length of the train = 100 meters
- Time taken to cross a milestone = 10 seconds
- Time taken to cross another train of the same length = 8 seconds
To find:
The distance traveled by the second train in 3 hours.
Approach:
1. First, we need to calculate the speed of both the trains.
2. Then, we can find the distance traveled by the second train in 3 hours.
Solution:
Calculating the Speed:
- Speed = Distance/Time
Train crossing a milestone:
- Distance = Length of the train = 100 meters
- Time = 10 seconds
- Speed = 100/10 = 10 meters/second
Train crossing another train:
- Distance = Length of the train = 100 meters
- Time = 8 seconds
- Speed = 100/8 = 12.5 meters/second
Calculating the Distance Traveled by the Second Train:
- When two trains travel in opposite directions, their relative speed is the sum of their individual speeds.
- Relative Speed = Speed of Train 1 + Speed of Train 2
Distance = Relative Speed × Time
- Distance = (Speed of Train 1 + Speed of Train 2) × Time
- Distance = (10 + 12.5) × (3 × 60 × 60) [Converting 3 hours into seconds]
- Distance = 22.5 × 10800 = 243000 meters
- Converting meters into kilometers:
Distance = 243000/1000 = 243 kilometers
Therefore, the distance traveled by the second train in 3 hours is 243 kilometers.
Hence, the correct answer is option B) 162 km.
- Length of the train = 100 meters
- Time taken to cross a milestone = 10 seconds
- Time taken to cross another train of the same length = 8 seconds
To find:
The distance traveled by the second train in 3 hours.
Approach:
1. First, we need to calculate the speed of both the trains.
2. Then, we can find the distance traveled by the second train in 3 hours.
Solution:
Calculating the Speed:
- Speed = Distance/Time
Train crossing a milestone:
- Distance = Length of the train = 100 meters
- Time = 10 seconds
- Speed = 100/10 = 10 meters/second
Train crossing another train:
- Distance = Length of the train = 100 meters
- Time = 8 seconds
- Speed = 100/8 = 12.5 meters/second
Calculating the Distance Traveled by the Second Train:
- When two trains travel in opposite directions, their relative speed is the sum of their individual speeds.
- Relative Speed = Speed of Train 1 + Speed of Train 2
Distance = Relative Speed × Time
- Distance = (Speed of Train 1 + Speed of Train 2) × Time
- Distance = (10 + 12.5) × (3 × 60 × 60) [Converting 3 hours into seconds]
- Distance = 22.5 × 10800 = 243000 meters
- Converting meters into kilometers:
Distance = 243000/1000 = 243 kilometers
Therefore, the distance traveled by the second train in 3 hours is 243 kilometers.
Hence, the correct answer is option B) 162 km.
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Community Answer
A 100-metre long train crossed a milestone in 10 seconds. It crossed ...
The speed of the first train = 100/10 = 10 m/s
Relative speed when the trains travelled in opposite directions = (100 + 100)/8 = 25 m/s
Therefore, the speed of the second train = 25 – 10 = 15 m/s
15 × 18/5 = 54 km/h
Distance travelled by the second train in 3 hours = 54 × 3 = 162 km.
Hence, the correct option is (b).
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A 100-metre long train crossed a milestone in 10 seconds. It crossed another train of the same length as its own in 8 seconds. If both the trains travelled in opposite directions, what is the distance travelled by the second train in 3 hours?a)124 kmb)162 kmc)184 kmd)210 kmCorrect answer is option 'B'. Can you explain this answer?
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