You are here:

- Home
- Science
- Mathematics
- Advanced Math
- Average Speed

Advertisement

An excursion train has the following schedule:

9:30 AM- Departs starting point for Town A.

11:15 AM- Arrives at Town A with a 1 hr. 45 min. layover.

1:00 PM- Departs for Town B.

1:10 PM- Arrives at Town B with a 50 min. layover.

2:00 PM- Departs Town B.

3:45 PM- Arrives at starting point.

Distance:

From starting point to Town A- 31 miles.

From Town A to Town B- 3 miles.

From Town B to starting point- 34 miles.

Total distance- 68 miles.

Calculate average speed of train.

Thanks for your assistance.

Use 24-hour notation to calculate elapsed time.

Train departs starting point at 9:30 and arrives at A at 11:15.

travel time = 11:15 - 9:30 = 1:45 = 1 hr 45 min

Train departs A at 13:00 and arrives at B at 13:10.

travel time = 13:10 - 13:00 = 0:10 = 10 min

Train departs B at 14:00 and returns to starting point at 15:45.

travel time = 15:45 - 14:00 = 1:45 = 1 hr 45 min

Total travel time = 1:45 + 0:10 + 1:45 = 3:40 = 3⅔ hr

Total distance = 31 + 3 + 34 = 68 miles

average speed = 68 miles/3⅔ hr = 18.5454... ≅ 18.55 miles per hour

- Add to this Answer
- Ask a Question

Rating(1-10) | Knowledgeability = 10 | Clarity of Response = 10 | Politeness = 10 |

Comment | Courteous and thorough explanation !! |

Advanced Math

Answers by Expert:

I can answer questions in Algebra, Basic Math, Calculus, Differential Equations, Geometry, Number Theory, and Word Problems. I would not feel comfortable answering questions in Probability and Statistics or Topology because I have not studied these in depth.

I tutor students (fifth through twelfth grades) and am a Top Contributor on Yahoo!Answers with over 24,000 math solutions.**Publications**

Co-author of An Outline of Scientific Writing: For Researchers With English as a Foreign Language**Education/Credentials**

I have a Bachelor's degree in Applied Mathematics from the University of California at Berkeley.**Past/Present Clients**

George White Elementary School.
Homework Help program at the Ridgewood Public Library, Ridgewood, NJ.
Individual students.