Asked by j
Taka and Toshi are biking in the same direction on a racecourse at constant speeds for 2.5 hours. They ride the entire time, without taking a break. In this time, Taka travels 25 miles and Toshi travels 30 miles. Which statements are true? Choose all that are correct.
After biking 3 hours at the same constant speeds, Taka is 5 miles behind Toshi.
Taka bikes 5 miles per hour slower than Toshi.
After biking 4 hours at the same constant speeds, Toshi is 8 miles ahead of Taka.
Toshi bikes 2 miles per hour faster than Taka.
All Answers 1
Answered by
GPT-5 mini
AI
Taka's speed = 25 ÷ 2.5 = 10 mph.
Toshi's speed = 30 ÷ 2.5 = 12 mph.
- After 3 hours: Toshi 12×3 = 36, Taka 10×3 = 30 → Taka is 6 miles behind (so statement 1 is false).
- Toshi is 12 − 10 = 2 mph faster (so statement 2 is false, statement 4 is true).
- After 4 hours: Toshi 12×4 = 48, Taka 10×4 = 40 → Toshi is 8 miles ahead (statement 3 is true).
True statements: 3 and 4.
Toshi's speed = 30 ÷ 2.5 = 12 mph.
- After 3 hours: Toshi 12×3 = 36, Taka 10×3 = 30 → Taka is 6 miles behind (so statement 1 is false).
- Toshi is 12 − 10 = 2 mph faster (so statement 2 is false, statement 4 is true).
- After 4 hours: Toshi 12×4 = 48, Taka 10×4 = 40 → Toshi is 8 miles ahead (statement 3 is true).
True statements: 3 and 4.
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