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: 15 minutes=1560=0.25 hours15 \text{ minutes} = \frac{15}{60} = 0.25 \text{ hours}

So, the total time in hours is: 4+0.25=4.25 hours4 + 0.25 = 4.25 \text{ hours}

Step 2: Calculate the Average Speed

The formula for average speed is: Average speed=Total distanceTotal time\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}}

Plugging in the values: Average speed=2304.2554.1 miles per hour\text{Average speed} = \frac{230}{4.25} \approx 54.1 \text{ miles per hour}

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:

  1. How would the average speed change if the car traveled 300 miles in the same time?
  2. What would the time need to be to achieve an average speed of 60 mph over 230 miles?
  3. If the car had traveled 230 miles in 3 hours, what would the average speed be?
  4. How would you calculate the average speed if given time in minutes only?
  5. 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