Question

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?

Answer 1

Answer: 0.54 centuries

Diameter of the Earth
`=1.27*10^7 m`

The rate at which it is digged
`r=0.4 miles/day`

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
`=1.27*10^7 m=7891.41 miles` (because 1 m=0.00062 miles)

Number of days it would take to dig
`= (7891.41 miles)/(0.4 miles/day)=19728.525 days`

`1 year =365 days`

`1 century=100 years`

`19728.525 days=54.05 years=0.54 centuries`

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