Problems of the Week - October 25 to October 31

Rewards for Problems of the week:

5 stars for the correct answer at your level; 10 stars for the next level; 20 stars for 2+ levels up.

Lower Elementary:

Question: Apollo 17 was the most recent manned spacecraft to go to the moon. It took 110 hours to get there. How many full days did it take the astronauts to get to the moon?

Upper Elementary:

Question: The Earth’s orbit about the Sun is approximately 600 million miles. That’s how far it travels in a full year. How far does the Earth travel about the Sun in 3 months?

Middle School:

Question: A space shuttle has 1 large fuel tank and 3 small fuel tanks. The tanks are filled with 600 tons of fuel in total. The large fuel tank is completely filled with 400 tons of fuel, and the rest of the fuel fills 2¹/₂ small tanks. How much does each small tank hold when full?

Algebra and Up:

Question: The volume of a sphere is equal to ⁴/₃πr³, in which r is the radius of the sphere. The radius of the Earth is 4,000 miles. The radius of the moon is 1,000 miles. How many cubic miles greater in volume is the Earth than the moon?

(Round π and all other irrational numbers to 3 figures.)

Challenge problem to take home. 5 stars for the correct answer. 

Four runners compete in a race — Amelia, Boris, Carlos, and Dara.

After some confusion at the finish line, it's unclear what the final finishing order was, but this information is known:

1. Dara finished before Amelia.
2. Boris wasn't third.
3. There were two runners between Amelia and Carlos.

Who won the race?