Math Problem Statement

A spacecraft travels 232,900 miles to the moon in 13.7 h. Calculate the average speed of the spacecraft.

Solution

To calculate the average speed of the spacecraft, we use the formula for average speed:

Average speed=Total distanceTotal time\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}}

Given:

  • Total distance = 232,900 miles
  • Total time = 13.7 hours

Now, let's compute the average speed:

Average speed=232,900miles13.7hours=16,999.27miles per hour\text{Average speed} = \frac{232,900 \, \text{miles}}{13.7 \, \text{hours}} = 16,999.27 \, \text{miles per hour}

Thus, the average speed of the spacecraft is approximately 16,999.27 miles per hour.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What would the average speed be if the spacecraft took 20 hours instead of 13.7 hours?
  2. How would you calculate the speed in kilometers per hour if 1 mile equals 1.609 kilometers?
  3. How long would it take the spacecraft to travel if its speed was reduced by half?
  4. What is the difference in time taken if the spacecraft's speed was 25,000 miles per hour?
  5. How would the formula change if the time was given in minutes instead of hours?

Tip: Always ensure that the units for time and distance match when calculating speed, whether it's in hours and miles or another set of units.

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Math Problem Analysis

Mathematical Concepts

Speed calculation
Distance and time relationship

Formulas

Average speed = Total distance / Total time

Theorems

Proportionality of distance and time in uniform motion

Suitable Grade Level

Grades 6-8