Question

Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. A correct numerical answer with no work shown will receive only 1 point.

Micah vacationed on a Caribbean island in the summer at a luxury hotel. He spent an entire day on a sightseeing excursion that explored the beautiful scenery of the city. Those who went on the trip boarded a bus which went 15mph through a 30 mile section of the city's countryside. There was a lunch stop at a local eatery before the group continued on a 3 hour tour of the city’s sights at a speed of 10mph. Lastly, the bus left the city and travelled 40 miles back to the hotel. Micah arrived back at the hotel exactly 2 hours after leaving the local eatery. What was the bus’s average rate for the entire trip?

Answer 1

The bus's average rate for the entire trip is approximately 14.29 mph

Explanation:

The given information are;

The speed of the bus through the 30 mile section = 15 mph

The time the bus moved at 10 mph = 3 hours

The distance the bus travelled back from the city = 40 miles

The time Micah arrived back at the hotel after leaving the local eatery = 2 hours

Assuming Micah correctly arrived back at the hotel after leaving the city = 2 hours

We have;

Total distance = 30 miles + 3 hour × 10 mph + 40 miles = 100 miles

Total time = 30 miles/(15 mph) + 3 hours + 2 hours = 7 hours

The average velocity = Total distance/(Total time) = 100 miles/(7 hours) ≈ 14.29 mph.

The bus's average rate for the entire trip ≈ 14.29 mph.