Question

A ship travels a distance of 200 nautical miles in 10 1/2 hours. how many knots did the ship average each hour? (One knot equals 1 nautical mile per hour) Provide explination please

Answer 1

19.05 knots average per hour

Explanation:

Distance traveled = 200 nautical miles

Time taken =
`10(1)/(2)` hours =
`\frac{10*2+1}2=(21)/(2)` hours

To find:

How many knots did the ship average each hour ?

Solution:

Here, we are given the distance traveled and total time taken to travel the distance.

As per question statement, we have to find the average speed of the ship.

Formula for average speed is given as:

`\text{Average Speed = }\frac{\text{Total Distance traveled}}{\text{Total Time Taken}}`

Putting the values in the formula:

`\Rightarrow \text{Average Speed = }(200)/((21)/(2))\\\Rightarrow \text{Average Speed = }(200* 2)/(21)\\\Rightarrow \text{Average Speed = }(400)/(21)\\\Rightarrow \text{\bold{Average Speed = 19.05 nautical miles per hour}}`

It is also given that 1 nautical mile per hours is equal to one know.

Therefore, the average speed can be written as:

19.05 knots average per hour