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CAT 2024 Slot 1 · Quant · Time, Speed and Distance · easy

A car travels from city X to city Y at a speed of 60 km/hr and returns from Y to X at a speed of 40 km/hr. Find its average speed for the entire…

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A car travels from city X to city Y at a speed of 60 km/hr and returns from Y to X at a speed of 40 km/hr. Find its average speed for the entire round trip (in km/hr).
  1. A. 48
  2. B. 50
  3. C. 52
  4. D. 45
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Answer: (A) 48

For equal distances covered at two speeds, average speed = 2ab/(a+b) = (2×60×40)/(60+40) = 4800/100 = 48 km/hr. Note this is the harmonic mean of the two speeds, not the simple average (which would incorrectly give 50).
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Original question written in the CAT 2024 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake