Travel or Work
I can't answer for VS, but when I saw a crew in Mumbai/Bombay the other day, they were on a 3 day trip and we were on a 4 day trip (3 for cabin crew).
It really depends on frequency of service. In BA sometimes we operate daily, several times daily, only a few times a week, or change aircraft type on different days. And this also changes between seasons.
Generally on a daily service you will have about 24 hours at destination before taking the next one back home.
On the 777 you get complete free days off to 'sight see' etc at the following destinations, but not on all flights:
Barbados, Boston, Cairo, Bahrain (but fly to Doha), Beijing, Shanghai, Harare, Atlanta, Newark, Washington, New York, Orlando, Tampa, Toronto, Montreal, Antigua (but some days have to fly to St Lucia/Grenada/Tobago), Kingston, Abu Dhabi (but fly to Muscat), Bangalore, Mumbai, Calcutta, Dhaka, Chennai/Madras.