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.

Answer: D. 23.24Start 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. A.

    236.16

  2. B.

    11.39

  3. C.

    8.78

  4. 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

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