The loser wins !!

A sheik announced that a race would decide which of his two sons would inherit all his wealth. The sons were to ride their camels to a certain distant city. The son whose camel reached the city last would be given all the sheik's wealth. 
The two sons set out on the journey. After several days of aimless wandering, they met and agreed to seek the advice of a wise man. After listening to the wise man's advice, the two sons rode the camels as quickly as possible to the designated city.
What was it that the wise man told the two sons? They did not agree to split the wealth, and their father's decree would be followed.