Question

if you walked 24 hours a day 5 days a week at 2mph how long would it take to walk around the earth? the earth has a diameter of 12,800

Answer 1

now, 24 hours... no sleep? ok, how many hours are there in 5 days? 24 * 5, that many hours.

now, you're walking at 2mph, or 2 miles per hour, so for 1 hour you walk 2 miles, so for (24 * 5) hours, you'd walk 2 * (24 * 5) miles then.

now, that's how many miles you walked on that week, for those 5 days, the other 2 days to stretch I gather.

now, how long.... in days? weeks? I assume is weeks, so, we know you're covering in 1 week (2*24 * 5) miles or 240 miles in a week, that's for those 5 days you walk only.

now, we know the earth has a diameter of 12800, now it doesn't say, clearly is likely miles, so, if the earth has a diameter of 12800, the radius is half that or 6,400 miles.

now, for a circle(earth) with a radius of 6400 miles, what's its circumference?


`\bf \textit{circumference of a circle}\\\\ C=2\pi r\qquad \boxed{r=6400}\qquad C=2\pi (6400)\implies C=12800\pi`

now, you're doing weekly 240 miles, and the earth is 12800π miles in circumference, how many times does 240 go into 12800π?


`\bf \cfrac{12800\pi }{240}\implies \cfrac{160\pi }{3}\implies \stackrel{weeks}{53(1 )/(3)\pi }`

anyhow, tis around 170.693200845 weeks.

Answer 2

6080649008.64 days 1 diameter of earth equal 7917.51173 miles and so I did the math.