Correct Answer: 240 m
Explanation:
Step 1: Understand the given data
Step 2: Convert speed to meters per second
Speed = 54 × (5 / 18) = 15 m/s
Step 3: Calculate length of the train
Length of train = Speed × Time to pass man = 15 × 20 = 300 meters
Step 4: Calculate total distance to pass the platform
Distance = Speed × Time to pass platform = 15 × 36 = 540 meters
Step 5: Calculate the length of the platform
Length of platform = Total distance - Length of train = 540 - 300 = 240 meters
Answer: 240 meters
The length of the platform is 240 meters.
This question tests your ability to apply the formula Distance = Speed × Time
in multiple contexts. By first finding the train’s length (using the time to pass a standing man), and then using the total time to pass a platform, we deduce the platform’s length. This type of question is common in competitive exams and helps strengthen concepts in speed, time, and distance.
Discussion & Comments