Difficulty: Easy
Correct Answer: 30 sec
Explanation:
Introduction / Context:This is a direct application of distance = speed * time, with total distance equal to train length plus platform length and careful unit conversion from km/h to m/s.
Given Data / Assumptions:
Concept / Approach:Convert speed and compute time using total distance.
Step-by-Step Solution:
v = 60 * 1000 / 3600 = 16.666... m/sD = 280 + 220 = 500 mt = 500 / (60 * 1000 / 3600) = 500 / 16.666... = 30 sVerification / Alternative check:16.666... m/s * 30 s = 500 m, which equals the combined lengths.
Why Other Options Are Wrong:20 s, 25 s, 35 s: Each gives the wrong travel distance at the given speed. Only 30 s is exact.
Common Pitfalls:Forgetting to add both lengths or rounding 16.666... too early. Keep exact fraction 50/3 when possible.
Final Answer:30 sec
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