Joe and Jill form a partnership. Joe runs the business in Washington DC$,$ while Jill vacations in Delaware. During the time Jill is away from the business, Joe increases the debts of the business by $$20,000.$ Which of the following statements is true regarding this debt?

Only Jill is personally liable for the debt of the business, since Joe has been working and she has not.

Neither Joe nor Jill is personally liable for the business debt, since the partnership is a separate legal entity.

Both Joe and Jill are personally liable for the business debt.

Only Joe is personally liable for the debt, since he has been the managing partner during that time.