A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?120 m240 m360 m300 m400 m
Question
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?120 m240 m360 m300 m400 m
Solution
To find the length of the platform, we can use the concept of relative speed.
Step 1: Convert the speed of the train from km/hr to m/s. Given that the speed of the train is 54 km/hr, we can convert it to m/s by multiplying it by 5/18. 54 km/hr * (5/18) = 15 m/s
Step 2: Calculate the length of the train. Since the train passes the man in 20 seconds, we can use the formula: distance = speed * time. distance = 15 m/s * 20 s = 300 meters
Step 3: Calculate the length of the platform. The train passes the platform and the man in 36 seconds. So, the time taken to pass the platform alone is 36 - 20 = 16 seconds. Using the same formula, distance = speed * time, we can find the length of the platform. distance = 15 m/s * 16 s = 240 meters
Therefore, the length of the platform is 240 meters.
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