1 answer
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To find the speed Amelia needs to travel to reach Mesa in the desired time, we start with the formula:
\[
d = vt
\]
where:
- \( d \) is the distance,
- \( v \) is the speed,
- \( t \) is the time.
We want to solve for \( v \). To do this, we can rearrange the formula.
1. Divide both sides of the equation by \( t \):
\[
v = \frac{d}{t}
\]
Now, we have expressed speed (\( v \)) in terms of distance (\( d \)) and time (\( t \)).
Next, Amelia's specific case has a distance of 388 miles and a time of 7 hours. We can now use the rearranged formula to calculate the speed:
\[
v = \frac{388 \text{ miles}}{7 \text{ hours}}
\]
Calculating that gives:
\[
v \approx 55.43 \text{ miles per hour}
\]
So, Amelia needs to travel at approximately 55.43 miles per hour to reach Mesa in approximately 7 hours.