The pace length 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 = pace length in meters. Bernard knows his pace length is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.
a) 23.22 b) 8.78 c) 11.39 d) 236.16

• n/P = 144
  n = 144 * P
  P = 1.64
  n = 144 * 1.64 = 236.14
  So Bernard is taking approximately 236 steps per minute, or almost 4 steps per second. That is faster than most people's running pace, let alone a walking pace, but we will go with it.
  v = d / t
  v = 1.64 m * 236.14 / minute
  v = 387.2696 m / minute
  To convert to km/h, use conversion fractions to change metres to kilometres and minutes to hours.
  v = 387.2696 m / minute * (1 km / 1000 m) * ( 60 minutes / 1 hour )
  v = 23.236176 km/h
  Round that to 3 significant digits because of the number of digits in the question.
  v ~= 23.2 km/h
  This "walking" speed is about double what most people walk (12 km/h). This is a little more than the pace that most long distance runners set in a race. I don't think this is that good a formula.
  
• 13 years agoHelpfull: Yes(5) No(1)