#1 makes the sequence clearer. 'for home' is the common idiom. Try to avoid repetition ie .
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vsureshPlease tell me if the first sentence means the same as the second.It doesn't. The first is purely a temporal sequence of events. The second might imply additional factors, such as "They left because they had finished the work". It's not much difference, but it's enough to suggest something different in the minds of the writers of each.