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A train can cross a 1200-metre-long bridge completely in 16 seconds. It can cross a 1600-metre-long bridge completely in 20
seconds. What is the speed of the train?
360 km/h
450 km/h
540 km/h
270 km/h
- The train speed is constant. It is the same whether it crosses a 1200-meter or 1600-meter bridge.
- Formula to find speed: Speed = Distance / Time.
- For the 1200-meter bridge:
- Distance = Length of the train + 1200 meters
- Calculated time = 16 seconds.
- For the 1600-meter bridge:
- Distance = Length of the train + 1600 meters
- Calculated time = 20 seconds.
- Use the two equations to form relationships:
- 16S = L + 1200
- 20S = L + 1600
- Solving these gives: L = 480 meters and Speed (S) = 90 m/s = 324 km/h.
- Correct speed option closest to 324 km/h:
- Option 1: 360 km/h
- Option 2: 450 km/h
- Option 3: 540 km/h
- Option 4: 270 km/h
Therefore, given options lack the correct speed calculation based on provided distance-time relations.
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