A man travels 160 km at 64 km/h and next 160 km at 80 km/h. What is the average speed over the first 320 km?
Aptitude
Time and Distance
Difficulty: Medium
Choose an option
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A71.11 km/h
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B72 km/h
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C70 km/h
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D75 km/h
Answer
Correct Answer: 71.11 km/h
Explanation
Average speed over multiple legs is total distance divided by total time, not the simple average of speeds.
Step-by-step calculationTotal distance = 160 + 160 = 320 kmTime1 = 160 / 64 = 2.5 hTime2 = 160 / 80 = 2 hTotal time = 2.5 + 2 = 4.5 hAverage speed = 320 / 4.5 = 71.11 km/h (approx.)
Verification / AlternativeFor two equal distances d at speeds v1, v2: Harmonic mean applies: Average speed = (2d) / (d/v1 + d/v2) which is the same calculation above.
Common pitfallsDo not average 64 and 80 directly; that would ignore time spent at each speed.
Final Answer71.11 km/h