Mr smith flight took off at Vancouver at local time 1335. The flight was bounded for Sydney via hongkong. After 16.5h flight, mr smith reached hongkong at 1505 local time on the same day. The plane took off again after 2h 20min. The plane landed in sydney at local time 0245 the next day. If the time in Sydney is 2h ahead of hongkong, find

(a) the time difference between Vancouver and hongkong
(b) the flight time from hongkong to Sydney

Let the time between V and HK be x hours

15:05 + x - 13:36 = 16:30
1:30 + x = 16:30 , ----- (15:05-13:36 = 14:65-13:36 = 1:30 )
x = 15:00

so the time between Vancouver and HongKong is 15 hrs.

For the second leg, the plane took off from HK at
17:25 , --- (15:05+2:20 = 17:25)
which would have been 19:25 Sydney time

but the Sydney time was 02:45 the next day,
or 26:45 based on the previous day
length of last flight = 26:45 - 19:25 = 7:20

so the flight from HK to S took 7:20 hrs

How do I get 13:36 ?

To find the time difference between Vancouver and Hong Kong, let's break down the given information.

Mr. Smith's flight took off from Vancouver at local time 1335. We need to determine the time in Hong Kong when the flight took off.

Since Hong Kong is 15 hours ahead of Vancouver, we can calculate the time in Hong Kong by adding 15 hours to the departure time from Vancouver.

1335 + 15 = 1505

Therefore, the flight took off from Hong Kong at 1505 local time.

Now let's find the flight time from Hong Kong to Sydney.

Mr. Smith reached Hong Kong after a 16.5-hour flight, at 1505 local time on the same day. The plane took off again after 2 hours and 20 minutes.

If the flight took off from Hong Kong at 1505 and departed after 2 hours and 20 minutes, we can calculate the new departure time.

1505 + 2 hours + 20 minutes = 1725

The plane departed from Hong Kong at 1725 local time.

The plane then landed in Sydney at local time 0245 the next day. We know that the time in Sydney is 2 hours ahead of Hong Kong. So, to find the flight time from Hong Kong to Sydney, we need to subtract the time difference.

0245 - 2 hours = 0045

Therefore, the flight time from Hong Kong to Sydney is 0045, or 45 minutes.

In summary:
(a) The time difference between Vancouver and Hong Kong is 15 hours.
(b) The flight time from Hong Kong to Sydney is 45 minutes.