Step 1: Recall what wound healing needs at the tissue level.
When skin is cut or injured, the body repairs the gap mainly by laying down a protein called collagen, which forms the scaffolding of new tissue and closes the wound. Anything that helps the body make collagen faster will speed up healing.
Step 2: Connect Vitamin C to collagen formation.
Vitamin C, also called ascorbic acid, is required by the enzymes that build and stabilise collagen fibres. Without enough Vitamin C, collagen is made poorly, wounds heal slowly, gums can bleed, and blood vessels become fragile, a set of symptoms seen in scurvy. When enough Vitamin C is available, collagen synthesis runs efficiently, so new tissue and skin form faster and wound healing is hastened.
Step 3: Check why the other vitamins are not the main answer.
Vitamin A supports vision, immune defence, and the health of epithelial cells, and it plays a supporting role in tissue repair, but it is not the vitamin most directly tied to collagen production during wound healing.
Vitamin E works mainly as an antioxidant, protecting cell membranes from damage; it is not the main driver of collagen synthesis.
Vitamin K is chiefly needed for blood clotting, which stops bleeding at the start of an injury, but clotting is a separate process from the actual rebuilding of tissue that follows.
Step 4: Final answer.
Because Vitamin C is needed for making the collagen that rebuilds injured tissue, it is the vitamin that hastens wound healing.
\[ \boxed{\text{Vitamin C}} \]