Question

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

Answer 1

Distance remaining = 3.1 miles

Explanation:

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

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`

AB =
`√((8.2-3)^2+(2-2)^2)`

= 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 =
`\frac{\text{Distance}}{\text{Time}}`

1.4 =
`\frac{\text{Distance}}{1.5}`

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