Multiple choice

Alyssa went on a road tour on her Jeep Wrangler and covered a total distance of 180 miles. She covered first 90 miles at 30 miles per hour and the next 90 miles at 45 miles per hour. What would be her average speed for the whole tour?

  1. 38 miles per hour

  2. 36 miles per hour

  3. 34 miles per hour

  4. 32 miles per hour

  5. 30 miles per hour
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed is total distance divided by total time. Total distance is 180 miles. Time for the first 90 miles is 90/30 = 3 hours. Time for the next 90 miles is 90/45 = 2 hours. Total time is 5 hours. Average speed = 180/5 = 36 mph.

AI explanation

Using the average speed formula for equal distances, the average speed equals 2xy divided by (x plus y). Substituting the given speeds gives 2 multiplied by 30 multiplied by 45, divided by the sum of 30 and 45. This simplifies to 2700 divided by 75, which gives the result of 36 miles per hour.

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