Multiple choice

Romania took part in Washington cycling contest in which she had to place a flag on other end of the road and return back to the initial point. She placed the flag on the designated point in 3 hours by going at an average speed of 20 miles per hour and completed the whole journey in 5.5 hours. While returning, she followed another path with an average speed of 25 miles per hour. What would be the total distance covered?

  1. 125.5 miles

  2. 122.5 miles

  3. 120.5 miles

  4. 118.5 miles

  5. 127.5 miles

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Outward journey: 3 hours at 20 mph = 60 miles. Total time = 5.5 hours. Return time = 5.5 - 3 = 2.5 hours. Return speed = 25 mph. Return distance = 2.5 * 25 = 62.5 miles. Total distance = 60 + 62.5 = 122.5 miles.

AI explanation

The distance to the flag is calculated as speed multiplied by time, giving 20 miles per hour multiplied by 3 hours, which equals 60 miles. The return journey time is the total time of 5.5 hours minus the 3 hours spent going, leaving 2.5 hours. The return distance is 25 miles per hour multiplied by 2.5 hours, which equals 62.5 miles. The total distance covered is the sum of 60 miles and 62.5 miles, resulting in 122.5 miles.