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Lily has walked 2 miles. Her goal is to walk 6 miles. Lily plans to reach her goal by walking 3 miles each hour h for the rest of her walk. Write an equation to find the number of hours it will take Lily to reach her goal.

Respuesta :

Answer: [tex]1\dfrac13[/tex] hours

Step-by-step explanation:

Lily's goal to walk =  6 miles

Lily has walked 2 miles.

Let h= number of hours it will take Lily to reach her goal.

She walk 3 miles an hour.

Total miles she can walk in h hour = 3h

According to the question,

[tex]3h +2 = 6[/tex]   (Required equation)

Subtract 2 from both sides , we get

[tex]3h = 4[/tex]

Divide both sides by 3 , we get

[tex]h=\dfrac43=1\dfrac{1}{3}[/tex]

Hence, it will take [tex]1\dfrac13[/tex] hours to reach her goal.

The equation to find the number of hours it will take Lily to reach her goal is (2 + 3h = 6) and this can be determined by using the given data.

Given :

  • Lily has walked 2 miles.
  • Her goal is to walk 6 miles.
  • Lily plans to reach her goal by walking 3 miles each hour h for the rest of her walk.

The following steps can be used in order to determine the equation to find the number of hours it will take Lily to reach her goal:

Step 1 - The linear equation can be formed in order to determine the number of hours it will take Lily to reach her goal.

Step 2 - Let the number of hours be 'h'.

Step 3 - So, the linear equation that represents the given situation is given below:

2 + 3h = 6

Step 4 - Simplify the above equation in order to determine the value of 'h'.

3h = 4

h = 4/3 hours

For more information, refer to the link given below:

https://brainly.com/question/11897796