Convert a speed of 30.6 km/h to m/s.
Aptitude
Time and Distance
Difficulty: Easy
Choose an option
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A5.1 m/s
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B8.5 m/s
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C110.16 m/s
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D1.7 m/s
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E6.8 m/s
Answer
Correct Answer: 8.5 m/s
Explanation
Introduction / Context:The conversion between km/h and m/s uses the factor 1 km/h = 1000/3600 m/s = 5/18 m/s. Equivalently, divide km/h by 3.6 to get m/s.
Given Data / Assumptions:
- Speed = 30.6 km/h.
Concept / Approach:m/s = (km/h) / 3.6.
Step-by-Step Solution:
30.6 / 3.6 = 8.5Therefore, 30.6 km/h = 8.5 m/sVerification / Alternative check:Using 5/18: 30.6 * (5/18) = 153/18 = 8.5 m/s.
Why Other Options Are Wrong:Large values like 110.16 m/s are off by a factor of 12.96; small values like 1.7 m/s ignore proper conversion.
Common Pitfalls:Multiplying by 3.6 instead of dividing when converting from km/h to m/s.
Final Answer:8.5 m/s