Faster is a form of Fast. Fast is related to Race. Race is related to Car. 
Room is related to Hill. Hill is the opposite of Pit. you are likely to find Pit in/at/on Tooth. 
Faster --FormOf--> Fast <--RelatedTo--> Race <--RelatedTo--> Car 
Room <--RelatedTo--> Hill <--Antonym--> Pit --AtLocation--> Tooth 