"You go and eat."

Translation: तुम जाओ और खाओ ।

[neilymon]

There is no reason for तुम in the Hindi translation of this sentence. (There is also no need for “you” in the English translation)

[AndriLindbergs]

Yes, that's what I thought. When I entered the simple form "जाओ और खाओ" then I was corrected by "आप जाओ और खाओ" which seem wrong to me, because "आप" would call for a formal verb, but maybe the imperative is the same for all personal pronouns.

[OJFord]

No, it isn't (or at least, perhaps that's colloquially used, like आप ... हो, but it isn't 'correct') - it should be आप जाइए और खाइए, or आप जाइएगा और खाइएगा।

आप can still be dropped I believe, since it (including it's politeness/formality) is implied by the ending as you say.

[vj-]

"चलू" should be accepted as well as "जाओ" here - it's far more natural in speech.