Math Problem Statement
A car travels a distance of 230 miles in 4 hours and 15 minutes work out the average speed of the car, in miles per hour give your answer to 1 decimal place.
Solution
To calculate the average speed, we need to divide the total distance traveled by the total time taken.
Step 1: Convert the Time to Hours
The time given is 4 hours and 15 minutes. To make calculations easier, convert this time to hours only.
Since there are 60 minutes in an hour:
So, the total time in hours is:
Step 2: Calculate the Average Speed
The formula for average speed is:
Plugging in the values:
Answer
The average speed of the car is approximately 54.1 miles per hour (to 1 decimal place).
Would you like more details, or have any questions?
Here are some related questions to explore further:
- How would the average speed change if the car traveled 300 miles in the same time?
- What would the time need to be to achieve an average speed of 60 mph over 230 miles?
- If the car had traveled 230 miles in 3 hours, what would the average speed be?
- How would you calculate the average speed if given time in minutes only?
- If a car's speed changes during a trip, how would you calculate its average speed over the entire journey?
Tip: When calculating average speed, ensure all time units are consistent (e.g., convert minutes to hours if the speed is in miles per hour).
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Math Problem Analysis
Mathematical Concepts
Distance, Speed, and Time Calculations
Unit Conversion
Formulas
Average Speed = Total Distance / Total Time
Theorems
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Suitable Grade Level
Grade 6-8