Theorem: Generalised method for finding the average time any person takes for walking 1 km using his/her trouser length & shoe size
Logic: At the instant when a person keeps is first leg and lifts the back leg, the front leg is at 90 degrees to the ground. hence using pythagoras theorem H = length of the back leg (TL,trouser length in Cm's)+ SS, Shoe size, O = TL,trouser length in CM's. Find A, the average step length.
Having found A, which is approximately the average length of the step a person takes, one can calulate the time the person takes to complete the step = T.
Average Step length,S in meters = (Sqrt (sqr (TL+SS) – Sqr(TL)) )/100
Time taken for S =T
Time taken for 1 KM in Minutes= ((1000*T/(S* 60)
Time Taken for N Km's = N(1000*T)/(S* 60)
Example:
My Trouser Length = 43 inches = 110.94
My Shoe Size = 9 inches = 22.5
H= TL + SS
H=133.44
O= 110.94
A = SQRT (SQR(133.44)- SQR(110.94))
A = SQRT (17806.23-12307.68)
A= 74.15221
A or S in Metres =0.7415221
TIme taken to complete S = 1.2 Seconds
Time I take for 1 KM = (1000*0.9) /(0.7415221*60)
Time I take for 1 KM =20.22862 minutes
How is that???
***Courtesy: Co Blogger***
