The Earth travels approximately 940 million kilometres around the Sun in a year. How many kilometres will it travel in a week?
Given: Earth travels 940 million km in 1 year.
Step 1: Convert year to weeks. 1 year = 52 weeks
Step 2: Set up proportion. 940 million km : 52 weeks :: x million km : 1 week
Step 3: Calculate using cross multiplication. x = 940/52 x = 18.08 million km
∴ The Earth will travel approximately 18.08 million kilometres (or about 18 million kilometres) in a week.
Explanation
This problem uses proportional reasoning. If Earth travels 940 million km in 1 year (52 weeks), then in 1 week it travels 940/52 million km.
Solution Steps
Step 1: Identify the given information: Earth travels 940 million km in 1 year.
Step 2: Convert year to weeks: 1 year = 52 weeks (approximately).
Step 3: Set up proportion: 940 million km : 52 weeks :: x million km : 1 week
Step 4: Using cross multiplication: x = 940/52 = 18.08 million km