c A plane leaves Los Angeles at $$ 23: 20 $$ on Tuesday and arrives in Brisbane at $$ 7: 15 \mathrm{a} . \mathrm{m} $$. on Thursday. What was the length of the flight? (Note that the plat crosses the International Date Line)

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1. Los Angeles is on Pacific Time (assume UTC$$-8$$) and Brisbane on Australian Eastern Standard Time (UTC$$+10$$). The time difference is  
   $$
   10 - (-8) = 18 \text{ hours.}
   $$

2. The plane departs Los Angeles at $$ 23:20 $$ on Tuesday. Converting this to Brisbane time, we add 18 hours:
   $$
   23:20 + 18 \text{ hours} = 17:20 \text{ on Wednesday.}
   $$
   Thus, when the plane departs Los Angeles at $$ 23:20 $$ on Tuesday, it is $$ 17:20 $$ on Wednesday in Brisbane.

3. The flight arrives in Brisbane at $$ 7:15 $$ on Thursday. So, from the Brisbane perspective, the elapsed time from takeoff in Brisbane time ($$ 17:20 $$ on Wednesday) to arrival ($$ 7:15 $$ on Thursday) is computed as follows:
   - From $$ 17:20 $$ on Wednesday to midnight (i.e. $$ 24:00 $$) is:
     $$
     24:00 - 17:20 = 6 \text{ hours } 40 \text{ minutes.}
     $$
   - From midnight to $$ 7:15 $$ on Thursday is:
     $$
     7 \text{ hours } 15 \text{ minutes.}
     $$
   - Total flight duration:
     $$
     6 \text{ hours } 40 \text{ minutes } + 7 \text{ hours } 15 \text{ minutes } = 13 \text{ hours } 55 \text{ minutes. }
     $$

4. Therefore, the length of the flight is  
   $$
   \boxed{13 \text{ hours } 55 \text{ minutes}.}
   $$
The flight lasted 13 hours and 55 minutes.

c A plane leaves Los Angeles at \( 23: 20 \) on Tuesday and arrives in Brisbane at \( 7: 15 \mathrm{a} . \mathrm{m} \). on Thursday. What was the length of the flight? (Note that the plat crosses the International Date Line)

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