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A 540 meters long train crosses a car, which speed is 27 km/h and running in the same direction of train in 36 seconds. If length of a bridge is 20% of the train, then find the time taken by train to crosses the bridge (Neglect t of car). )?
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A 540 meters long train crosses a car, which speed is 27 km/h and runn...
Understanding the Problem
To find the time taken by the train to cross a bridge, we first need to determine the speed of the train and the length of the bridge.
Step 1: Calculate the Speed of the Train
- The train length = 540 meters.
- Speed of the car = 27 km/h.
- The time taken to cross the car = 36 seconds.
Convert the speed of the car to meters per second:
- Speed of the car in m/s = (27 * 1000) / 3600 = 7.5 m/s.
Relative Speed of the Train:
- Let speed of the train = V_train m/s.
- The relative speed of the train with respect to the car = V_train - 7.5 m/s.
- The distance covered to cross the car = 540 meters.
Using the formula:
- Distance = Relative Speed × Time
- 540 = (V_train - 7.5) × 36.
- V_train - 7.5 = 540 / 36 = 15 m/s.
- Therefore, V_train = 15 + 7.5 = 22.5 m/s.
Step 2: Calculate the Length of the Bridge
- Length of the bridge = 20% of the train length.
- Length of the bridge = 0.20 × 540 = 108 meters.
Step 3: Find Time to Cross the Bridge
- Total distance to cross the bridge = Length of the train + Length of the bridge = 540 + 108 = 648 meters.
Using the formula for time:
- Time = Distance / Speed.
- Time = 648 / 22.5.
Final Calculation:
- Time = 28.8 seconds.
Conclusion
The time taken by the train to cross the bridge is approximately 28.8 seconds.
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A 540 meters long train crosses a car, which speed is 27 km/h and running in the same direction of train in 36 seconds. If length of a bridge is 20% of the train, then find the time taken by train to crosses the bridge (Neglect t of car). )?
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A 540 meters long train crosses a car, which speed is 27 km/h and running in the same direction of train in 36 seconds. If length of a bridge is 20% of the train, then find the time taken by train to crosses the bridge (Neglect t of car). )? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about A 540 meters long train crosses a car, which speed is 27 km/h and running in the same direction of train in 36 seconds. If length of a bridge is 20% of the train, then find the time taken by train to crosses the bridge (Neglect t of car). )? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 540 meters long train crosses a car, which speed is 27 km/h and running in the same direction of train in 36 seconds. If length of a bridge is 20% of the train, then find the time taken by train to crosses the bridge (Neglect t of car). )?.
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