Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
Aptitude
Problems on Trains
Difficulty: Medium
Choose an option
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A50 seconds
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B45 seconds
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C48 seconds
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D60 seconds
Answer
Correct Answer: 48 seconds
Explanation
We are given:
- Speed of Train 1 = 60 km/h
- Speed of Train 2 = 90 km/h
- Length of Train 1 = 1.10 km = 1100 m
- Length of Train 2 = 0.90 km = 900 m
Step 1: Calculate total distance to be covered
Both trains are moving in opposite directions, so they will cross each other completely.Total distance = Length of Train 1 + Length of Train 2= 1100 + 900 = 2000 meters
Step 2: Convert relative speed to m/s
Relative Speed = 60 + 90 = 150 km/hConvert to m/s: 150 × (1000 / 3600) = 41.67 m/s
Step 3: Calculate time using the formula
Time = Distance / Speed= 2000 / 41.67 ≈ 48 seconds
Final Answer:
The time taken by the slower train to cross the faster train is approximately 48 seconds