Multiple choice

On a family road trip to his grandparents' house, Alex drives a total distance of 180 miles. He travels at an average speed of 50 miles per hour for the first x hours and then completes the trip by switching to a speed of 40 miles per hour to enjoy the scenery along the route for the remaining y hours. If x = 2, what is the value of y?

  1. 2

  2. 3

  3. 4

  4. 5
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A Correct answer
Explanation

Alex drives 50 mph for 2 hours, covering 100 miles. The remaining distance is 180 - 100 = 80 miles. At 40 mph, the time y taken is 80 / 40 = 2 hours.

AI explanation

Using the formula for distance equals speed multiplied by time, the distance covered in the first x equals 2 hours is 50 multiplied by 2, which gives 100 miles. The remaining distance is 180 minus 100, equaling 80 miles. Using the same formula for the second part of the trip, y equals distance divided by speed, so y equals 80 divided by 40, which is 2.

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