6
QuizMultiple Choice

Relationships Between Quantities — Test

Question 6 • Algebra II

Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. To the nearest tenth of a mile, how much faster does Julia ride than Katie? Distance (mi) Rate (mph) Time (hr) Julia 20 1 point 2 Katie 20 1 point 6

Answer
A
8 point 0 mph
B
4 point 2 mph
C
15 point 4 mph
D
12 point 5 mph

Explanation

Use rate = distance ÷ time. Julia rides at 20 ÷ 1.2 ≈ 16.7 mph, and Katie rides at 20 ÷ 1.6 = 12.5 mph. The difference is about 16.7 − 12.5 = 4.2 mph, so Julia rides 4.2 mph faster.

AI-written and checked against the verified answer.

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