If one afternoon mike gauthier decides to dig a hole through the earth to china for a game of ping pong, how many centuries would elapse before he got there if he dug at a rate of 0.400 miles depth per day and the diameter of the earth is 1.2700 e 7 m?

Respuesta :

Answer: 0.54 centuries

Diameter of the Earth[tex]=1.27\times10^7 m[/tex]

The rate at which it is digged [tex]r=0.4 miles/day[/tex]

The number of centuries it would take to dig =Distance to be digged/ rate at which it is digged.

Distance to be digged = diameter of the Earth [tex]=1.27\times10^7 m=7891.41 miles[/tex] (because 1 m=0.00062 miles)

Number of days it would take to dig [tex]= \frac{7891.41 miles}{0.4 miles/day}=19728.525 days[/tex]

[tex]1 year =365 days[/tex]

[tex]1 century=100 years[/tex]

[tex]19728.525 days=54.05 years=0.54 centuries[/tex]

Therefore, it would take 0.54 centuries to dig through to China.