Multiple choice

Nora drove past three toll booths: Booth P, Booth Q, and Booth R in that order, at a constant speed. What was Nora's speed when she passed Booth Q? (1) Nora covered the 75 kilometers between Booth P and Booth Q in 1 hour 15 minutes. (2) Nora covered the 48 kilometers between Booth Q and Booth R in 48 minutes.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
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D Correct answer
Explanation

Speed is distance divided by time. Statement 1 gives speed between P and Q. Statement 2 gives speed between Q and R. Since the speed is constant, either statement is sufficient to find the speed at Booth Q.

AI explanation

Because Nora drives at a constant speed, her speed passing Booth Q is the same as her speed on the entire route. Using the formula speed equals distance divided by time, statement 1 allows us to calculate the speed as 75 kilometers divided by 1.25 hours, resulting in 60 kilometers per hour. Statement 2 also allows us to calculate the exact same speed using 48 kilometers divided by 0.8 hours. Each statement independently provides enough data to find the speed.

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