Spin for Your Dinner

We’re supposed to sit still while we eat, but some restaurants spin! The Space Needle in Seattle has a restaurant that makes 1 full turn every 47 minutes. The 360 Restaurant in Toronto spins a dizzying 1,151 feet above the ground once every 72 minutes. The biggest turning restaurant of all is Bellini in Mexico City, which takes 1 hour 45 minutes to spin once — giving you more time to munch.
Lace up: Find something in the room that turns on its own. Does it turn quickly or slowly?
Jog: Which restaurant is turning faster, one that takes 40 minutes to turn or one that takes 50 minutes?
Sprint: If you can eat a plate of food every 10 minutes, how long does it take to eat 6 plates? Count up by 10s!
Hurdle: The Space Needle itself is 605 feet tall. If you’re in the restaurant at 500 feet, how many feet do you have to climb to reach the top of the needle?
High Jump: If you can eat 2 bites of food every minute, will the 360 Restaurant give you enough time to eat a 100-bite burger and 40 bites of fries in one spin? (The “360” turns in 1 hour 12 minutes.)
Pole Vault: If SkyCity, the Space Needle restaurant, spins once every 45 minutes and the huge Bellini in Mexico City speeds up to turn once every 60 minutes, and they both start turning at 6 pm with their front doors both facing south, when’s the next time their front doors will face the same direction as each other?
Answers:
Lace up: Items might include the second hand on a watch or clock, dials on gadgets, or a doorknob.
Jog: The one that takes 40 minutes: if it takes less time, it’s turning faster!
Sprint: 10, 20, 30, 40, 50, 60.
Hurdle: 105 feet.
High Jump: Yes: 1 hour 12 minutes is 72 minutes, enough for 144, whereas your meal has 140 bites.
Pole Vault: In 3 hours, they’ll both be facing south. SkyCity will take only 3/4 hour to turn, while Bellini will take 1 hour. They’ll face the same direction again when Space Needle has done exactly 1 more turn than Bellini. To solve for that:In time t (in hours), S will make 4/3 t turns.
In time t (in hours), M will make 1 t turns, and that will be 1 less turn than S makes.So 4/3 t – 1 = t
Multiplying by 3,
4t – 3 = 3t
4t – 3t = 3
t = 3
So t = 3 hours. At that point SkyCity would have made exactly 4 turns and Bellini, 3 turns.

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