Question

a car travels from point s at (-5,7) to point t at (-5,-1). if each unit represents 20 miles, how long will it take the car to travel this distance, traveling at 40 miles per hour?

Answer 1

The value is
`t = 4 \ hours`

Explanation:

From the question we are told that

The initial position of the car is
`x_i , y_i = (-5,7)`

The final position of the car is
`x_f , y_f = (-5,-1)`

The speed of the car is
`v = 40 \ miles / hour`

Generally the distance covered by the car along the x-axis is

`x = -5 - [- 5]`

=>
`x = 0`

Generally the distance covered along the y-axis is

`y = y_i - y_f`

=>
`y = y_i - [-1]`

=>
`y = 8`

Generally the resultant distance covered is

`R = √(x^2 + y^2)`

=>
`R = √(0^2 + 8^2)`

=>
`R = 8`

From the question we are told that 1 unit of the distance covered is 20 miles so

8 units is

`r = 8 *20`

=>
`r =160 \ miles`

Generally the time taken is mathematically represented as

`t = (r)/(v)`

=>
`t = (160)/( 40)`

=>
`t = 4 \ hours`