The Car in the Showroom puzzle

Contratrombone64

Admiral of Fugues
In a car showroom, the white car is at one end of the showroom and the purple car is at the other. The red car is next to the black car and three places away from the blue car. The yellow car is next to the blue car and nearer to the purple car than to the white one. The silver car is next to the red one and the green car is five places away from the blue car. The black car is next to the green car.

Is the silver car or the red car nearer to the purple car?
Which car is three places away from the white car?
Which car is next to the purple car?
Which car is between the silver and the blue?
 
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