Problem of the Week (Nov. 27, 2017)

Down, Down, Down

Directions: Write your work on a separate sheet of paper. Label the paper with your FULL name, your teacher, and which problem(s) you are handing in, then staple it to this sheet.

SHOW ALL YOUR WORK

Have you ever heard the phrase “dig to China”? Have you ever wondered where you would actually end up if you were to dig a hole all the way through the center of the Earth and come out on the other side? Well, this website https://www.freemaptools.com/tunnel-to-other-side-of-the-earth.htm will let you figure that out. Unfortunately, if you dig from Breck you will end up in the middle of the Indian Ocean. Note that it would get a bit too hot to dig all the way through since the center of the Earth is 10,000 degrees Fahrenheit.

Level 1: My Arms Are So Tired: If you dig down for 6 miles, then you dig down another 2 miles, how many more miles do you have to dig to reach 12 miles total depth.

Level 2: Dig Battle: If you dig 6 miles every day for 6 days, and your friend digs 5 miles every day for a week, who digs farther? How much farther?

Level 3: Journey to the Center of the Earth: If the distance through the Earth is 7,916 miles, what is the distance to the center of the Earth?

SUPER BONUS: On day 1, you dig 10 miles. On Day 2, you dig 10 miles again. Then on Day 3 you dig 20 miles. You dig 30 miles on Day 4, and 50 miles on Day 5. If you dig another 80 miles on Day 6, then how many miles will you dig on Day 7?