A bicycle travels 42 meters for every 20 revolutions of the wheel. How many revolutions would the wheel make in a kilometer?

Maths

use a simple ratio

let the number of revolutions in 1 km be n

n/1000 = 20/42
x = 1000(20/42) = 10000/21 or appr 476.2 revolutions

To calculate the number of wheel revolutions in a kilometer, we need to know the distance traveled by the bicycle wheel per revolution. Let's work through the steps:

1. Begin by calculating the distance traveled by the wheel in one revolution. We're given that the bicycle travels 42 meters for every 20 revolutions of the wheel. Therefore, to find the distance traveled in one revolution, we can divide the total distance (42 meters) by the number of revolutions (20):

Distance per revolution = 42 meters / 20 revolutions
= 2.1 meters/revolution

2. Now that we know the distance traveled by the wheel in a single revolution (2.1 meters), we can calculate the number of revolutions required to cover one kilometer. Since there are 1000 meters in a kilometer, we divide 1000 meters by the distance per revolution:

Number of revolutions in a kilometer = 1000 meters / 2.1 meters/revolution
≈ 476.19 revolutions

Note: We rounded the value to two decimal places for convenience.

Therefore, the wheel would make approximately 476.19 revolutions in a kilometer.