DIRECTIONS: Choose the most appropriate answer:Q. A train is moving at a speed of 132 kmph. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 m long ?a)6.0 secsb)7.5 secsc)7.0 secsd)8.5 secsCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Problem Analysis:
- The speed of the train is given in km/hr, and we need to convert it to m/s to match the length of the train and the platform.
- The length of the train and the platform are given in meters.
- We need to find the time it takes for the train to cross the platform.

Given:
- Speed of the train = 132 kmph
- Length of the train = 110 meters
- Length of the platform = 165 meters

Solution:
1. Convert the speed of the train from kmph to m/s:
- Speed in m/s = (Speed in kmph * 1000) / 3600
- Speed in m/s = (132 * 1000) / 3600 = 36.67 m/s (approx.)

2. Calculate the total distance the train needs to cover to cross the platform:
- Total distance = Length of train + Length of platform
- Total distance = 110 + 165 = 275 meters

3. Calculate the time taken by the train to cover the total distance:
- Time = Distance / Speed
- Time = 275 / 36.67 = 7.5 seconds (approx.)

Answer:
Hence, it will take approximately 7.5 seconds for the train to cross the railway platform.

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