The speed of a train is 88 km/h. How much time will it take to cross a 180 m long platform if the length of the train is 150 m?

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Accepted Answer

To calculate the time taken to cross the platform:

1. **Convert the speed of the train to meters per second:**  
   Speed = $$ 88 \, 	ext{km/h} = 88 	imes \frac{5}{18} = 24.4 \, 	ext{m/s} $$.

2. **Calculate the total distance to be covered:**  
   The train must cover its own length (150 m) and the length of the platform (180 m):  
   Total distance = $$ 150 + 180 = 330 \, 	ext{m} $$.

3. **Calculate the time taken using the formula $$ 	ext{Time} = \frac{	ext{Distance}}{	ext{Speed}} $$:**  
   Time = $$ \frac{330}{24.4} = 13.5 \, 	ext{s} = 13 \frac{1}{2} \, 	ext{s} $$.

Thus, the correct answer is **(c) $$ 13 \frac{1}{2} \, 	ext{s} $$**.

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