Broken leg
Length: 5 days
Cure: Put bandage on and let him or her rest a lot

Flea
Length: 3 days
Cure: Wash him or her with an anti-flea shampoo

Flu
Length: 3 days
Cure: Flu medicine for three days every day one time

Item swallowed
Length: Unknown; as long as it takes for you to extract it
Cure: Buy an Extractor and extract the item from the pet's belly

Ugly
Length: Unknown; as long as it takes for you to make the pet beautiful
Cure: Comb his or her hair and put some clothes on

Worms
Length: 3 days.
Cure: Feed him or her anti-worm food