## 8. The Emir and His Chauffeur

Emir Ben Sidi Mohammed always drives from his palace to the airport at the same speed along a magnificent highway that runs through the desert. If his chauffeur increased the average speed of the car by $20 \mathrm{km} /$ h, the Emir would save 2 minutes, and if the chauffeur drove at a speed 20 km/h slower, the Emir would lose 3 minutes.

How far is the Emir's palace from the airport?