Math Problem Statement

What is the average speed for the trip?

Solution

To calculate the average speed for the entire trip, we'll use the formula:

Average Speed=Total DistanceTotal Time\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}

Step 1: Calculate the Total Distance

From the earlier calculation:

  • First Segment: 36 km
  • Second Segment: 23.75 km
  • Third Segment: 35.87 km

Total distance: Total Distance=36km+23.75km+35.87km=95.62km\text{Total Distance} = 36 \, \text{km} + 23.75 \, \text{km} + 35.87 \, \text{km} = 95.62 \, \text{km}

Step 2: Calculate the Total Time

The total time includes both driving and the break:

  • Driving Time: 88 minutes
  • Break Time: 23 minutes

Total time: Total Time=111minutes=11160hours=1.85hours\text{Total Time} = 111 \, \text{minutes} = \frac{111}{60} \, \text{hours} = 1.85 \, \text{hours}

Step 3: Calculate the Average Speed

Now, we can calculate the average speed:

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Speed, Distance, and Time calculations

Formulas

Average Speed = Total Distance / Total Time

Theorems

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Suitable Grade Level

Grades 6-8