1. **State the problem:** An airplane travels 1400 km in the same time a car travels 560 km. The car's speed is 200 kph less than the airplane's speed. We need to find the speed of each vehicle. 2. **Formula and rules:** We use the formula for time: $$\text{time} = \frac{\text{distance}}{\text{speed}}$$ Since both travel for the same time, we set their times equal: $$\frac{1400}{v} = \frac{560}{v - 200}$$ where $v$ is the airplane's speed in kph. 3. **Solve the equation:** Multiply both sides by $v(v - 200)$ to clear denominators: $$1400(v - 200) = 560v$$ Distribute: $$1400v - 280000 = 560v$$ Bring all terms to one side: $$1400v - 560v = 280000$$ Simplify: $$840v = 280000$$ Divide both sides by 840: $$v = \frac{280000}{840} = 333.33$$ 4. **Find the car's speed:** $$v - 200 = 333.33 - 200 = 133.33$$ 5. **Interpretation:** The airplane's speed is approximately 333.33 kph. The car's speed is approximately 133.33 kph. 6. **Check:** Time for airplane: $$\frac{1400}{333.33} \approx 4.2 \text{ hours}$$ Time for car: $$\frac{560}{133.33} \approx 4.2 \text{ hours}$$ Both times match, confirming the solution. **Final answer:** Airplane speed = 333.33 kph Car speed = 133.33 kph