Hiking on the map, AB represents a trail that you are hiking. You start from the beginning of the trail and hike for 90 minutes at a rate of 1.4 mph how much farther do you need to hike to reach the end of the trail

Hiking on the map AB represents a trail that you are hiking You start from the beginning of the trail and hike for 90 minutes at a rate of 14 mph how much farth class=

Respuesta :

Answer:

Distance remaining = 3.1 miles

Step-by-step explanation:

Distance between A(3, 2) and B(8.2, 2) can be calculated by the formula,

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

AB = [tex]\sqrt{(8.2-3)^2+(2-2)^2}[/tex]

     = 5.2 mi

Since you have hiked for "90 minutes or 1.5 hours" at the rate of 1.4 mph,

From the formula,

Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

1.4 = [tex]\frac{\text{Distance}}{1.5}[/tex]

Distance traveled = 1.4 × 1.5

                             = 2.1 miles

Distance remaining to travel = 5.2 - 2.1

                                               = 3.1 miles

Therefore, distance remaining to travel = 3.1 miles

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