2
QuizMultiple Choice

Word Problems — Quiz

Question 2 • Algebraic Reasoning

Marina can bicycle 19.5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run? Distance (mi) Rate (mph) Time (hr) Bicycling 19 point 5 r plus g the fraction with numerator 19 point 5 and denominator r plus 9 Running 6 r 6 over r

Answer
A
13 mph
B
4 mph
C
9 mph
D
5 mph

Explanation

Because Marina takes the same time for both trips, set the biking time equal to the running time: 19.5/(r + 9) = 6/r, where r is her running speed. Cross-multiplying gives 19.5r = 6(r + 9), so 13.5r = 54 and r = 4. Marina runs at 4 mph, choice B.

AI-written and checked against the verified answer.

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