Sydney, Australia is 13 hours ahead of my current location. If it's 3:00 pm here, what time is it in Sydney, Australia?

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Answer 1 · 2016-12-05T03:08:23

$4:00$ am the following day

$3:00$ pm $= 15:00$ (on the 24 Hr clock)

$15:00 + 13$ Hours $= 4:00$ $(15+13-24)$ the following day.

$= 4:00$ am the folowing day

Answer 2 · 2016-12-05T05:12:42

4am the next day

I'm going to use a 24-hour clock for this question to eliminate the whole "AM/PM" thing.

It's "3pm here" - which in a 24 hour clock is 15:00.

Australia is 13 hours ahead - so we add 13 hours:

$15:00+13:00=28:00$

Since the result is greater than 24, we've advanced a day. We subtract 24 hours to get the time:

$28:00-24:00=04:00=4am$