Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

The table gives the distance between a lighthouse and a cruise ship at different times. The cruise ship is traveling at a uniform speed



Complete the following sentences based on the data in the table

After 11 hours, the cruise ship will be

___nautical miles from the lighthouse.


At the start of the journey, the cruise ship was ___

nautical miles from the lighthouse.


The cruise ship is traveling at a speed of___

nautical miles per hour.

Answer 1

1.After 11 hours, the cruise ship will be _233.75__nautical miles from the lighthouse.

2.At the start of the journey, the cruise ship was _10.5__ nautical miles from the lighthouse.

3.The cruise ship is traveling at a speed of_21.25_ nautical miles per hour.

Explanation:

Distance covered in 2 hours= 95.5-53NM

=42.5NM

therefore,

`Speed= Distance/time................(1)`

put value of distance and time in equation (1)

therefore,

`speed= 42.5/2hour`

speed=21.25NM/hour

Therefore distance covered in 11 hours= speed* time

`Distance=21.25*11`

=233.75NM

2. Since distance covered in 2 hours is 42.5

therefore, at starting of the journey the cruise distance from light house is

= 53NM-42.5NM

=10.5NM

3. Distance covered in 2 hours= 95.5-53NM

=42.5NM

therefore,

`Speed= Distance/time................(1)`

put value of distance and time in equation (1)

therefore,

`speed= 42.5/2hour`

speed=21.25NM/hour

Therefore Cruise ship is traveling at speed of 21.25NM/hour