QCAA General Mathematics Earth geometry and time zones

Depart Brisbane 22:45 Monday Brisbane time
Travel +14:35
Arrive Dubai 37:20 Monday
next day - 24:00
13:20 Tuesday
UTC correction - 6:00
7:20 am on Tuesday in Dubai

Distance is east / west
$\therefore$ distance = $111.2 \times \cos \theta \times$ angular dist.

angular dist. = $147^\circ 37' - 140^\circ 47'$
$= 6^\circ 50'$

distance = $111.2 \times \cos \theta \times$ angular dist.
$= 111.2 \times \cos(37^\circ 50') \times (6^\circ 50')$
$= 600.14$

It is approximately 600 km between Mount Gambier and Bairnsdale.

Total flight distance from Sydney to Los Angeles
$= 4828 + 7242 = 12\,070$ km
Time difference between Sydney (UTC +10) and Los Angeles (UTC -8)
$= +10 - (-8) = 18$ hours
$\therefore$ Sydney is 18 hours ahead of Los Angeles.

Local time and day in Sydney when flight arrives in Los Angeles
$= 6:50$ pm Tuesday $+ 18$ h
$= 12:50$ pm Wednesday

Total flight duration from Sydney to Los Angeles
$= 12:50$ pm Wednesday $- 9:50$ pm Tuesday
$= 15$ hours

Proportion of total flight distance when 4828 km travelled
$= \frac{4828}{12070} \times 100$
$= 40\%$

Flight duration when 4828 km travelled
$= 40\%$ of 15 h
$= 6$ hours

Local time and day in Sydney when 4828 km travelled
$= 9:50$ pm Tuesday $+ 6$ h
$= 3:50$ am Wednesday