To determine how long Sara will take to cover a distance of 7 km while driving at a speed of 90 km/h, we use the formula for time, which is:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Let's break down the steps to find the solution:
1. Identify the given values:
- Distance ([tex]\( d \)[/tex]) = 7 km
- Speed ([tex]\( s \)[/tex]) = 90 km/h
2. Substitute these values into the formula:
[tex]\[ \text{Time} = \frac{7 \text{ km}}{90 \text{ km/h}} \][/tex]
3. Perform the division:
[tex]\[ \text{Time} = \frac{7}{90} \text{ hours} \][/tex]
4. Simplify the fraction, if desired:
Simplifying [tex]\(\frac{7}{90}\)[/tex] is not necessary for understanding the result directly in hours, but it simplifies to a more precise decimal representation.
So, the time Sara will take to cover 7 km at a speed of 90 km/h is approximately [tex]\(0.0778\)[/tex] hours.
Therefore, Sara will take approximately [tex]\(0.0778\)[/tex] hours to cover a distance of 7 km when driving at a speed of 90 km/h.
