Destiny and Franijza are at the swimming pool. They decide to walk to the ice cream shop. They walk north at a pace of 6 km/h * r for 20 minutes, and then east at the same pace for 10 minutes. If the swimming pool is at the origin (0, 0) what is the position of the ice cream shop?

Respuesta :

Answer:

(1,2)

Step-by-step explanation:

6 km/h going north for 20 mins would be 1/3 of an hour so 1/3 of 6. This would mean they walked 2 kilometers north. That's your y-coordinate. They walked 6 kilometers an hour going east for 10 mins. 10 mins is 1/6 of an hour and 1 is 1/6 of 6. So 1 is your x-coordinate. You put the numbers in as (x, y).

If the swimming pool is at the origin (0, 0) then the position of the ice cream shop is (1,2) and this can be determined by using the unitary method and also by using the formula of speed.

Given :

  • Destiny and Franijza are at the swimming pool. They decide to walk to the ice cream shop.
  • They walk north at a pace of 6 km/h for 20 minutes, and then east at the same pace for 10 minutes.

The following steps can be used in order to determine the position of the ice cream shop:

Step 1 - Remember 1 hour is equal to 60 minutes.

Step 2 - If one hour is equal to 60 minutes then in 20 minutes there are:

[tex]\rm \dfrac{20}{60}=\dfrac{1}{3}\;hour[/tex]

Step 3 - If one hour is equal to 60 minutes then in 10 minutes there are:

[tex]\rm \dfrac{10}{60}=\dfrac{1}{6}\;hour[/tex]

Step 4 - Determine the distance travel in the north which gives the y-coordinate.

[tex]\rm Distance = 6\times \dfrac{1}{3}=2\;Km[/tex]

Step 5 - Determine the distance travel in the east which gives the x-coordinate.

[tex]\rm Distance = 6\times \dfrac{1}{6}=1\;Km[/tex]

So, the position of the ice cream shop is (1,2).

For more information, refer to the link given below:

https://brainly.com/question/12291166