Question

You are standing beside a carousel in England (so it turns clockwise). This carousel has 12 animals (in order proceeding conterclockwise: a tiger, a whale, a donkey, an ostrich, a bear, a shark, an elephant, a giraffe, an alligator, a unicorn, a lion, and a hippo), evenly spaced along the outside perimeter. You're watching your little sister, Raphaelle, who's riding on the unicorn; from your vantage point, you're right in front of the elephant. across from the tiger. It takes four seconds for your sister to reach you. How long will it take the carousel to go around three times, and what animal will be in front of you after exactly one minute? 02/ Use Polya's Principles, below, to treat this problem. 1. Understand: Give an explanation in your own words, with complete sentences, of what the problem is asking you to solve. 2. Devise a plan: Give an explanation of the way you will go about solving the problem. There are usually many different possible plans! 3. Carry out the plan: Here you will carry out your plan from step 2. 4. Look back: Having carried out your plan, here you want to look and see if you answered the question or not. If not, reflect on what went wrong, or how your understanding the problem changed. At this point you may want to repeat the above three steps to find the solution. This is often a difficult step. Not only should you check your computations, but you should also make sure any equations you may have used and any answers you might have determined make sense. For instance, does it make sense to get a positive number? A fraction (etc.)? It's OK, in this step, to indicate if you're still confused or uncertain. While it's always nice to solve a problem correctly, critical thinking is very important. It's better to admit that you're not sure about your work than it is to just assume you did i correctly.

Answer 1

1. This problem gives description of carousel rotating in clockwise direction. It has 12 animals on its perimeter, which are evenly spaced. I need to calculate time required for carousel for completing 3 rotations. Then calculate, after 1 minute of time, which animal will be in front of me.

2. To devise a plan:

a. First draw round with 12 evenly spaced marks and start labeling animals in anti clock wise direction. Also mark position of sister and myself.

b. Then calculate time required for rotation of each section (space between two immediate animals)

c.Calculate total time required for one rotation and then for 3 rotations.

d. Calculate number of complete rotations and incomplete rotation fraction (if any) in 1 min

3. Calculations will be:

hippo tiger lion antickck wise K sister whale unicorn 3/A Yote donkey - 7 - Clockwise - alligator Note elephant is ost sich across a tiger. bear Elephant ! Shark You It will take 3 sections rotation for sister to reach me. . 3 section require 4 seconds, Hence 1 section will require 4 seconds. = 4 seconds. 3 so 12 sections (iround will take ² x 4 = 16 seconds br 3rounds it will take 16x3 = 48 seconds. minute has 60 seconds... 60 = 3.75 will be total rotations inlmin. 3.75 means = 3 complete rotations and one 3½ rotation from elephant ofter 3 complete solution elephant will be in front and after 3/4 rotation, unicorn will come in front.

Did this help? If yes, do give positive rating for this answer. Thank you!