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
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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