To find out how much time Althea took to cover a distance of 280 miles at a speed of 70 miles per hour, we use the formula for time in terms of distance and speed. The formula is:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\][/tex]
We are given:
- Distance = 280 miles
- Speed = 70 miles/hour
Now, we plug the values into the formula:
[tex]\[
\text{Time} = \frac{280 \text{ miles}}{70 \text{ miles/hour}}
\][/tex]
When calculating this, the 'miles' units will cancel out, leaving us with 'hours':
[tex]\[
\text{Time} = \frac{280}{70} \text{ hours}
\][/tex]
Divide 280 by 70:
[tex]\[
\text{Time} = 4 \text{ hours}
\][/tex]
Therefore, Althea took 4 hours to cover a distance of 280 miles at a speed of 70 miles per hour.
