To determine the distance an airplane will cover in [tex]\(\frac{25}{6}\)[/tex] hours, given that it covers 1020 km in one hour, we can follow these steps:
1. Identify the Rate:
The airplane travels at a rate of 1020 kilometers per hour.
2. Identify the Time:
We need to find the distance covered in [tex]\(\frac{25}{6}\)[/tex] hours.
3. Calculate the Distance:
To find the distance covered, we multiply the rate by the time.
[tex]\[
\text{Distance} = \text{Rate} \times \text{Time}
\][/tex]
4. Substitute the Known Values:
Substitute the rate (1020 km/hour) and the time ([tex]\(\frac{25}{6}\)[/tex] hours) into the formula.
[tex]\[
\text{Distance} = 1020 \, \text{km/hour} \times \frac{25}{6} \, \text{hours}
\][/tex]
Simplifying this multiplication,
[tex]\[
\text{Distance} = 1020 \times \frac{25}{6}
\][/tex]
5. Perform the Multiplication:
Carry out the multiplication to find the distance.
[tex]\[
\text{Distance} = 4250 \, \text{km}
\][/tex]
Thus, the airplane will cover a distance of 4250 kilometers in [tex]\(\frac{25}{6}\)[/tex] hours.
