Final answer:
To determine the time it takes for an electric scooter to travel 5 1/3 miles at a speed of 1 2/3 miles per hour, divide the total distance by the speed. The scooter takes 3 hours, making b) the correct answer.
Step-by-step explanation:
An electric scooter can go 1 2/3 miles every hour. If we want to find out how many hours the scooter can go to travel a total of 5 1/3 miles, we need to divide the total miles by the miles the scooter can travel per hour.
To solve this, we first convert the mixed numbers into improper fractions. 1 2/3 converts to 5/3, and 5 1/3 converts to 16/3. We then divide 16/3 by 5/3, which simplifies to 16/3 × 3/5. This simplifies further to 16/5, which is 3 1/5 or simply 3 hours.
Therefore, the scooter would take 3 hours to travel 5 1/3 miles. The correct answer is option b) 3 hours.
Checking the reasonableness of the answer: If the scooter travels 1 2/3 miles in one hour, then in 3 hours it should travel three times that distance, which would be exactly 5 miles. Since we have a little more than 5 miles (5 1/3 miles), it is expected to take slightly more than 3 hours, which aligns with our solution of 3 1/5 hours.