Certainly! Let's solve the problem step-by-step:
1. Determine the speed of the plane:
- We know the distance flown by the plane is 6,000 kilometers.
- The time taken to fly this distance is 5 hours.
- Speed is calculated using the formula:
[tex]\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\][/tex]
- Substituting the given values:
[tex]\[
\text{Speed} = \frac{6000 \text{ km}}{5 \text{ h}} = 1200 \text{ km/h}
\][/tex]
2. Calculate the distance the plane can fly in the new time:
- We need to find out how far the plane can fly in 6 hours.
- Using the speed we found, we can calculate the distance using the formula:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
- Substituting the values:
[tex]\[
\text{Distance} = 1200 \text{ km/h} \times 6 \text{ h} = 7200 \text{ km}
\][/tex]
Therefore, if the plane maintains the same speed, it can fly 7200 kilometers in 6 hours.
