Numbers 12:13 And Moses cried unto the LORD, saying, Heal her now , O God, I beseech thee. (Moses request of God to heal Miriam immediately)
I Kings 13:6 And the king answered and said unto the man of God, Intreat now the face of the LORD thy God, and pray for me, that my hand may be restored me again. And the man of God besought the LORD, and the king's hand was restored him again, and became as it was before. (The assumption here is that Jereboam was asking for immediate healing of his hand)
Psalms 31:2 Bow down thine ear to me; deliver me speedily : be thou my strong rock, for an house of defence to save me. (David)
Psalms 69:17 And hide not thy face from thy servant; for I am in trouble: hear me speedily . (David)
Psalms 102:2 Hide not thy face from me in the day when I am in trouble; incline thine ear unto me: in the day when I call answer me speedily . (David)
Psalms 143:7 Hear me speedily, O LORD: my spirit faileth: hide not thy face from me, lest I be like unto them that go down into the pit. (David)