An article in Archiv Fur Kriminologie states the body can survive for 8 to 21 days without food and water and up to two months if there's access to an adequate water intake. Modern-day hunger strikes have provided insight into starvation.
you could use refusual strategies such as assertivley denying or giving another solution or excuse like "oh why don't we do something else that donesn't sound very much fun to me.