How long did it take for the English to sail from England to Botany Bay?

Answer 1

Assuming that your question is about the time taken in the era of sailing-ships (and, in particular, the transportation of convicts):

No exact time can be given because it varied so much depending upon the weather and other conditions, but to give you some idea, I can tell you that:

the first fleet of convict transports, escorts, and supply ships sailed from Portsmouth on 13 May 1787. It landed 754 prisoners (men, women, and children), around 430 ships' crew and officials, and 299 marines and their families at Sydney Cove (botany Bay) on 19-21 January 1788. The voyage (including a month's stopover at Rio de Janeiro for resupplying and refitting) had thus taken a total of 36 weeks.