The pacelength P is the distance between the rear of two consecutive…
2025
The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed kmph.
- A.
236.16
- B.
11.39
- C.
8.78
- D.
23.24
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Correct answer: D
Start by converting the pacelength from centimetres to metres: 164 cm = 1.64 m.
Use the relation n/P = 144, so n = 144 × P.
Number of steps per minute = 144 × 1.64 = 236.16 steps/min
Distance travelled in one minute = steps per minute × pacelength = 236.16 × 1.64 = 387.3024 m/min
Convert to km/h: 387.3024 m/min × 60 min = 23238.144 m/h = 23.238144 km/h
Final answer: Bernard's walking speed ≈ 23.24 km/h