Final answer:
The length of the train, when crossing a 250 meter platform in 26 seconds at a speed of 72 km/h, can be calculated using the formula: Length of Train = (Speed x Time) - Length of Platform. After converting the speed from km/hr to m/s and substituting the given values into the equation, the length of the train is approximately 130 meters.
Step-by-step explanation:
The question involves the concepts of distance, speed and time in Physics and Mathematics. The total distance covered by the train is the length of the train plus the length of the platform which equals to the speed of the train times the time. By rearranging this formula, the length of the train can be calculated using the formula: Length of train = (Speed of train x Time) - Length of platform. Speed should be in the same unit as the platform (m/s). So we convert the speed of the train from km/hr to m/s (72 km/hr = 72*1000/3600 m/s).
If we substitute the given values into the equation, we find that: Length of train = ((72*1000/3600) x 26) - 250 m. Simplifying this equation, we get the length of the train to be approximately 130 meters.
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