Final answer:
The airplane will take approximately 5.25 hours to fly 4200 km at the same speed.
Step-by-step explanation:
To find the time it will take the airplane to fly 4200 km at the same speed, we can set up a proportion using the given distance and time:
Distance1 / Time1 = Distance2 / Time2
Substituting the values, we get:
2000 km / 2.5 hours = 4200 km / Time2
Cross-multiplying, we get:
2000 * Time2 = 4200 * 2.5
Simplifying, we get:
Time2 = (4200 * 2.5) / 2000
Time2 = 5.25 hours
Therefore, it will take the airplane approximately 5.25 hours to fly 4200 km at the same speed.