Math Problem Statement
A group of friends is taking part in a two-day walking event for charity. Yesterday, they walked 28 miles in 9 hours and 44 minutes. Today, they finished the last 10 miles in 2 hours and 55 minutes. What was the group's average speed for the two-day event? Write your answer as a whole number or as a decimal rounded to the nearest tenth. miles per hour
Solution
To find the group's average speed for the entire two-day walking event, we first need to calculate the total distance walked and the total time taken, then divide the total distance by the total time.
Step 1: Calculate the total distance
- Distance walked on the first day: 28 miles
- Distance walked on the second day: 10 miles
- Total distance = 28 miles + 10 miles = 38 miles
Step 2: Calculate the total time
-
Time spent walking on the first day: 9 hours and 44 minutes
- Convert 44 minutes to hours: hours
- Total time for the first day = 9 + 0.7333 = 9.7333 hours
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Time spent walking on the second day: 2 hours and 55 minutes
- Convert 55 minutes to hours: hours
- Total time for the second day = 2 + 0.9167 = 2.9167 hours
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Total time = 9.7333 hours + 2.9167 hours = 12.65 hours
Step 3: Calculate the average speed
Average speed =
Thus, the group's average speed for the two-day event is approximately 3.0 miles per hour.
Would you like more details or have any questions on this? Here are some related questions to explore:
- How do you convert minutes to hours for different times?
- What is the formula for average speed?
- How can you calculate the total distance and time when walking multiple days?
- What is the effect of different walking speeds on average speed calculations?
- How would the average speed change if the group walked a longer distance?
Tip: When converting minutes to hours, always divide the number of minutes by 60 to get a decimal value.
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Math Problem Analysis
Mathematical Concepts
Average Speed
Distance and Time Calculations
Unit Conversion (Minutes to Hours)
Formulas
Average Speed = Total Distance / Total Time
Theorems
Basic properties of average speed
Suitable Grade Level
Grades 7-9
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