Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving?

Question

StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
StartFraction 50 miles Over 1 hour EndFraction = StartFraction question mark hours Over 200 miles EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction 50 miles Over question mark hours EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction question mark hours Over 50 miles EndFraction

Answer 1

To find the number of hours Madie was driving, we can use the relationship between distance, speed, and time, which is given by the formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Rearranging the formula to find the time gives us:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

In this case, the distance is 200 miles, and the speed is 50 miles per hour. Therefore, the equation we can set up is:

\[ \text{Time} = \frac{200 \text{ miles}}{50 \text{ miles per hour}} \]

This corresponds to the first equation you provided:

\[ \frac{50 \text{ miles}}{1 \text{ hour}} = \frac{200 \text{ miles}}{\text{question mark hours}} \]

This equation can be solved to find the number of hours, which will be 4 hours in this case.