Question

A ship sailed fromistanbul on 13th January 05.00 hours local time, and is bound to New York.The distance between Istanbul and New York is 5450 miles. The ship's average speed is 10.3 knots. What is the ETA to New York as local time?​

Answer 1

31 January at 21:00

Step-by-step explanation:

Converting miles to nautical miles

`1\ \text{mile}=(1)/(1.151)\ \text{nautical miles}`

`5450\ \text{miles}=(5450)/(1.151)=4735.01\ \text{nautical miles}`

Average speed = 10.3 knots

Time taken

`t=(4735.01)/(10.3)\\\Rightarrow t=459.71\ \text{hours}=(459.71)/(24)=19\ \text{days}`

The difference in local time between New York and Istanbul is 8 hours. So, ship will reach New York on
`13+19=32`. Since January has 31 days it will reach New York on 1st February 05:00 Turkey local time. Now we subtract 8 hours and we get 21:00 .

So, the ship will arrive in New York on 31 January at 21:00 local time.