Math Problem Statement

Raphael drove 141.4 miles in 2.8 hours. What was his average speed in miles per hour as a decimal?

Solution

The question asks:

Raphael drove 141.4 miles in 2.8 hours. What was his average speed in miles per hour as a decimal?

The formula for average speed is:

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

Substituting the given values:

Average Speed=141.4 miles2.8 hours\text{Average Speed} = \frac{141.4 \text{ miles}}{2.8 \text{ hours}}

Let me calculate that for you.Raphael's average speed was 50.5 miles per hour.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

  1. How would the average speed change if Raphael drove the same distance in 3 hours instead?
  2. What is the formula for calculating time if the speed and distance are known?
  3. How can you convert the average speed from miles per hour to kilometers per hour?
  4. If Raphael had driven for 1 hour longer at the same average speed, how much farther would he have gone?
  5. What is the difference between average speed and instantaneous speed?

Tip: Always ensure that the units of distance and time are consistent when calculating speed.

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Math Problem Analysis

Mathematical Concepts

Algebra
Speed Calculation
Ratios

Formulas

Average Speed = Total Distance / Total Time

Theorems

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Suitable Grade Level

Grades 6-8