Multiple choice

Rayon is planning a weekend trip on a river. He rows his boat downstream from Point A to Point B, and then back upstream from Point B to Point A. The distance between Point A and Point B is 20 miles. The speed of the river's current is 2 miles per hour. Rayon can row his boat at a constant speed of 6 miles per hour in still water. Quantity A The total time Rayon takes for the round trip Quantity B 8 hours

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Downstream speed is 6+2=8 mph; time = 20/8 = 2.5 hours. Upstream speed is 6-2=4 mph; time = 20/4 = 5 hours. Total time = 2.5 + 5 = 7.5 hours. Since 7.5 < 8, Quantity B is greater.

AI explanation

Rayon's downstream speed is the sum of his rowing speed and the current, which equals 6 plus 2, or 8 miles per hour. His upstream speed is the difference between his rowing speed and the current, which equals 6 minus 2, or 4 miles per hour. Using the formula time equals distance divided by speed, the time to travel 20 miles downstream is 20 divided by 8, which is 2.5 hours. The time to travel 20 miles upstream is 20 divided by 4, which is 5 hours. The total time for the round trip is 7.5 hours, making Quantity B greater since it is 8 hours.

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