Question

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.

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Answer 1

n/P = 144

n = 144 * P

P = 1.64

n = 144 * 1.64 = 236.16 approx 236 steps per minute we are taking n in integer for it represents no. of steps

now v = d / t

v = 1.64 * 236 meter/minute

v = 387.04 meter / minute

or v = (387.04/1000)/(1/60)

or v = 387.04*60/1000 = 23.2224

Answer 2

Concept:

Speed is determined by dividing the distance travelled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance travelled.

Speed is inversely correlated with time and directly correlated with distance. As a result, distance equals speed x time, and time equals distance divided by speed; as speed rises, distance travelled will shorten, and vice versa.

Speed α 1/time

Speed = distance/ time

Given:

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

Find:

Calculate Bernard's walking speed in kmph.

Solution:

n/P = 144

n = 144 * P

P = 1.64

n = 144 * 1.64 = 236.16 approx 236 steps per minute we are taking n in integer for it represents no. of steps

now v = d / t

v = 1.64 x 236 meter/minute

v = 387.04 meter / minute

or v = (387.04/1000)/(1/60)

or v = 387.04*60/1000 = 23.2224 kmph

Therefore, Bernard's walking speed is 23.2224 kmph

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