Problems of the week- August 3 to August 7

Aug 2, 2020 | Lake Boone

Rewards for Problems of the week:

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

Lower Elementary:
Question: A sheepdog has a litter of 7 puppies and 1 adopted piglet. Each puppy eats 2 cups of food per day. The piglet eats twice as much as a puppy. How many cups of of food do the baby animals need each day in total?
 

Upper Elementary:
Question: One farmer sleeps through his alarm clock 3 times every 12 days. Another farmer has a duck that wakes him up 2 out of every 3 days by quacking. Which wakeup method is more effective, the alarm clock or the duck?
 

Middle School:
Question: Esme makes a dollhouse that is a perfect miniature of her own farmhouse. The farmhouse is 12 yards wide. The dollhouse is 18 inches wide. What are the dimensions of a miniature refrigerator that goes inside the dollhouse if the real-life refrigerator in the farmhouse is 3 feet wide, 2 feet deep, and 5 feet tall?
 

Algebra and Up:
Question: A pig and a border collie are competing in a sheep herding competition. When the pig approaches the sheep at a rate of 11 mph, the sheep walk away at a rate of 3 mph. When the border collie chases the sheep at a rate of 25 mph, the sheep run away at a rate of 20 mph. Which animal catches up to the sheep faster?
 

Challenge problem to take home. 20 points for the correct answer. 

 

Zachary travels on a journey of 50 miles. He spends half of his time riding his horse and half of his time walking. When he rides his horse, he covers 9 miles every hour. When he walks, he covers 3 miles every hour. How much time does it take him to complete the journey?