4
QuizMultiple Choice

Applications of Equations

Question 4 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf’s average speed. How fast does Red Riding Hood drive?

Answer
A
48 mph
B
54 mph
C
50 mph
D
45 mph

Explanation

Let the Wolf’s speed be v mph, so Red Riding Hood’s speed is v + 6 mph. Their travel times differ by 1 hour, so 432/v − 432/(v + 6) = 1. Solving gives v = 48, making Red Riding Hood’s speed 48 + 6 = 54 mph. The correct choice is b, 54 mph.

AI-written and checked against the verified answer.

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