Ferris Wheel Fun

The Giant Sky Wheel at the city fair has 20 gondolas, with each gondola able to seat 6 passengers. 

The wheel makes one complete rotation every 12 minutes, and passengers are loaded and unloaded without stopping the wheel.

If the Ferris wheel was full every rotation, how many people would have ridden the Giant Sky Wheel in 1 hour from the first rotation starting?

Justify your answer.

๐ŸŽก Ferris Wheel Fun ๐ŸŽก ๐Ÿ‘จโ€๐Ÿ‘ฉโ€๐Ÿ‘ง 20 Gondolas Total Carts 6 Seats In each gondola 1 Rotation โณ 12 Minutes How many people ride in 1 Hour? (Hint: 1 Hour = 60 Minutes) Show your work!

Solution

Let’s break this down step by step:

1. Calculate the capacity of the Ferris wheel:
– Number of gondolas: 20
– Passengers per gondola: 6
– Total capacity = 20 ร— 6 = 120 passengers per rotation

2. Calculate the number of rotations in 1 hour:
– Time for one rotation: 12 minutes
– Number of rotations in 1 hour = 60 minutes รท 12 minutes = 5 rotations

3. Calculate the total number of passengers in 1 hour:
– Passengers per rotation: 120
– Number of rotations: 5
– Total passengers = 120 ร— 5 = 600 passengers

Therefore, if the Ferris wheel was full every rotation, 600 people would have ridden the Giant Sky Wheel in 1 hour from the first rotation starting.

Solution 1 Find Capacity per Rotation 20 gondolas ร— 6 people = 120 passengers ๐ŸŽก 2 Find Rotations in 1 Hour 60 minutes รท 12 minutes = 5 rotations โณ 3 Calculate Total Passengers 120 people ร— 5 rotations = 600 passengers ๐Ÿ‘จโ€๐Ÿ‘ฉโ€๐Ÿ‘งโ€๐Ÿ‘ฆ Total Riders in 1 Hour: 600 People