Answer:
Achilles fought hector out side of the gates of Troy. Both talked about what would happen if either of them killed the other. Achilles drew first blood by throwing his spear at hector. Achilles misses hector and hector throws his spear at Achilles and he blocks the spear with his shield.
This is what myth tells us Athena goddess of wisdom takes Achilles spear and throws it back to Achilles and hector does not see this. But hector had no reserved spear but thinks his one of his brothers is by his side. Athena posses as one of hectors brothers and tells hector that he will help hector fight Achilles. Hector is tricked by Athena and then has no choice. Hector charges for Achilles and Achilles does the same. Achilles has a longer weapon and so he thrashes his spear into hectors windpipe. Hector still has some few moments left and then ask Achilles to give his body back to his loved ones at troy so he may be properly buried. Achilles refuses and hectors last words is the Paris t who was the one who started the entire war will kill Achilles at the gates of troy where hector is being killed now.
In all honest opinion I think that Achilles didn't have help from a goddess and that he
had a javelin and a spear but hector only had a javelin and did not see Achilles spear. The he rest of the fight I think happened.