I know that our God is three in one (Father, Son, Holy Spirit). If the Father knows the exact time of the end, why doesn't Jesus know? In Matthew 24 Jesus said that He doesn't even know, only the Father.

The verse that you are referring to is found in what is often called the “Olivet Discourse,” as it took place on the Mount of Olives, just east of Jerusalem, and because it is a lengthy exposition of the end times that Christ shares with his disciples. As Jesus is talking, he says, No one knows about that day or hour, not even the angels in heaven, nor the Son, but only the Father—Jesus Christ, Matthew 24:36 (also Mark 13:32). As one who was fully God and at the same time fully man, Jesus possessed all the attributes (characteristics) of deity, including omnipotence (all powerful) and omniscience (all-knowing). He knew what was in people’s hearts; as an example, one time when Jesus was teaching, [s]ome men came, bringing to him a paralytic, carried by four of them. Since they could not get him to Jesus because of the crowd, they made an opening in the roof above Jesus and, after digging through it, lowered the mat the paralyzed man was lying on. When Jesus saw their faith, he said to the paralytic, “Son, your sins are forgiven.” Now some teachers of the law were sitting there, thinking to themselves, “Why does this fellow talk like that? He’s blaspheming! Who can forgive sins but God alone?” Immediately Jesus knew in his spirit that this was what they were thinking in their hearts, and he said to them, “Why are you thinking these things?—Mark 2:3-8. And of course He could both still the stormy waves or walk on them, along with the many other powerful miracles He performed. However, when Jesus became a man, as Paul so wonderfully writes in his letter to the Philippian church, He, though being in very nature God, did not consider equality with God something to be grasped, but made himself nothing, taking the very nature of a servant, being made in human likeness. And being found in appearance as a man, he humbled himself and became obedient to death—even death on a cross!—Paul, Philippians 2:6-8. As part of the humility He expressed in becoming a man, he choose to allow certain knowledge to be kept with the Father alone. This is really no different than how the Father Himself limits Himself, particularly in how He considers our sins. Once forgiven, according to Jeremiah, I will forgive their wickedness and will remember their sins no more—God speaking, Jeremiah 31:34b. And of course, King Hezekiah took note of what God had done with his particular sins: [Y]ou have put all my sins behind your back—King Hezekiah, Isaiah 38:17b. An all-knowing God puts our sins out of His mind. God actually limits Himself when it comes to our wrongs. And, of course, the greatest example of Jesus limiting Himself was at the end of His life when He sacrificed Himself on our behalf. The gospels tell us that He (1) allowed Himself to be bound, (2) allowed Himself to be beaten and flogged, (3) allowed Himself to remain on the cross, and (4) allowed Himself to die. None of those things happen without Christ limiting Himself, denying Himself the power that was always His. As He told some Pharisees gathered around Him, The reason my Father loves me is that I lay down my life—only to take it up again. No one takes it from me, but I lay it down of my own accord. I have authority to lay it down and authority to take it up again. This command I received from my Father”—Jesus Christ, John 10:17-18. It is likely, however, that since Christ now has gone into heaven and is at God’s right hand—with angels, authorities and powers in submission to him—I Peter 3:22, Jesus does in fact know the day and hour of His return.

(Addendum: None of this makes Christ somehow inferior to God. Submission does not indicate inferiority, but subordination—again, totally referring back to God’s created order and divine plan. Submission is mutual commitment and cooperation. The Trinity is a perfect example. God is over all—including the Son and the Holy Spirit. The Son is directed by the Father and directs the Holy Spirit. There is perfect coordination and perfect unity, because there is perfect submission.)