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a palne leavs shanghai at 20 05 local time on 13 november the plane stops for 2 hours 30minutes in sydney.the plane lands in Auckland at 17 25 local time on 14 november.the local time in Auckland is 5 hours ahead of the local time in shanghai.work out how long the plane is flying in hours and minutes

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Final answer:

To calculate the flight duration from Shanghai to Auckland with a layover in Sydney and accounting for time zone differences, convert departure and arrival times to a common time zone, add the total elapsed time, and subtract layover duration to find that the plane is flying for 13 hours and 50 minutes.

Step-by-step explanation:

The question involves calculating the total flight duration from Shanghai to Auckland, including a layover in Sydney and taking into consideration the time differences between these locations.

Step-by-Step Calculation

1. First, we need to convert the departure and arrival times into a common time zone. Since Auckland is 5 hours ahead of Shanghai, we add 5 hours to Shanghai’s departure time, making it 01:05 (1:05 AM) on November 14th in Auckland when the plane leaves Shanghai at 20:05 (8:05 PM) on November 13th.

2. The plane arrives in Auckland at 17:25 (5:25 PM) on November 14th. This means there has been a total elapsed time of 16 hours and 20 minutes from the adjusted departure time in Auckland to the arrival time.

3. In Sydney, the plane stops for 2 hours and 30 minutes. We subtract this layover time from the elapsed time to find the total flight duration.

The calculation: 16 hours and 20 minutes - 2 hours and 30 minutes = 13 hours and 50 minutes of flying time. Therefore, the plane is flying for a total of 13 hours and 50 minutes.

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