Determine the ETA of your ship (in local time) if you depart from Perth, Australia (ZD 7 East) to Cape Town, South Africa (ZD 1 East) on the 12th of August 2019 @ 0830H local time at a speed of 12.5 knots. Distance between the ports is 4715 nautical miles.
To determine the ETA (Estimated Time of Arrival) of the ship, we need to calculate the sailing time based on the distance and speed, and then add it to the departure time.
First, let's calculate the sailing time:
Distance = 4715 nautical miles
Speed = 12.5 knots
Sailing time = Distance / Speed
Sailing time = 4715 / 12.5
Sailing time ≈ 377.2 hours
Now, let's convert the sailing time into days and hours:
1 day = 24 hours
377.2 hours ≈ 15.7 days
Since the calculated time is in decimals, we round it up to the nearest whole number.
Sailing time = 16 days
Finally, let's add the sailing time to the departure time:
Departure date: 12th August 2019 @ 0830H local time
Sailing time: 16 days
Estimated Arrival date and time = Departure date + Sailing time
Estimated Arrival date and time = 12th August 2019 @ 0830H + 16 days
Now, let's calculate the local time of the arrival in Cape Town, South Africa, by considering the time zone difference:
Perth, Australia (Departure):
Time Zone: ZD 7 East
Cape Town, South Africa (Arrival):
Time Zone: ZD 1 East
So, there is a time difference of 6 hours between the two ports. Cape Town is 6 hours behind Perth.
Therefore, the estimated local time of arrival in Cape Town, South Africa would be:
08:30 AM Perth time + 16 days - 6 hours = 02:30 AM local time in Cape Town, South Africa.
To determine the estimated time of arrival (ETA) of your ship, we need to calculate the time it will take to cover the distance between Perth, Australia, and Cape Town, South Africa, at a speed of 12.5 knots.
Step 1: Convert the distance from nautical miles to hours.
To convert nautical miles to hours, we divide the distance by the speed in knots.
Distance: 4715 nautical miles
Speed: 12.5 knots
Time = Distance / Speed
Time = 4715 / 12.5
Time ≈ 377.2 hours
Step 2: Convert the hours to days and hours.
Since there are 24 hours in a day, we can divide the total hours by 24 to get the number of days. The remainder will be the remaining hours.
377.2 hours ≈ 15 days and 17.2 hours
Step 3: Add the time to the departure time.
The departure time is on the 12th of August 2019 at 0830H local time.
Adding 15 days and 17.2 hours will give us the estimated arrival time.
12th August 2019 @ 0830H + 15 days and 17.2 hours = 27th August 2019 @ around 0130H local time
Therefore, the estimated time of arrival (ETA) in Cape Town, South Africa, is around the 27th of August 2019, at approximately 0130H local time.