Question

Google maps has told Juanita that her car trip will be 32 miles. Juanita has already gone 14 miles. How fast, in miles per hour, must Juanita drive to arrive in 16 more minutes?

Answer 1

Answer:

Speed= 67.5 miles per hour

Step-by-step explanation:

Google maps has told Juanita that her car trip will be 32 miles.

Juanita has already gone 14 miles.

Remaining miles left to travel

= 32-14

Remaining miles left to travel

= 18 miles

She has only 16 minutes to reach her destination.

The required speed for her to reach her destination

= Distance/time

Her time = 16 minutes

Her time = 16/60

Her time =4/15 hours

Speed= distance/time

Speed= 18 /(4/15)

Speed=18* 15/4

Speed= 67.5 miles per hour

Answer 2

Juanita needs to drive at 67.5 miles per hour to arrive in 16 more minutes

The total distance (D) is given as:

$\mathbf{D = 32miles}$

She has traveled 14 miles;

So, the remaining distance (d) is:

$\mathbf{d = D -14}$

This gives

$\mathbf{d = 32 -14}$

$\mathbf{d = 18}$

Speed is calculated as:

$\mathbf{Speed = \frac{distance}{time}}$

Where: distance = 18 miles and time = 16 minutes

So, we have:

$\mathbf{Speed = \frac{18\ miles}{16\ minutes}}$

Convert time to hour

$\mathbf{Speed = \frac{18\ miles}{16/60\ hour}}$

So, we have:

$\mathbf{Speed = \frac{18 \times 60\ miles}{16\ hour}}$

$\mathbf{Speed = \frac{1080\ miles}{16\ hour}}$

Divide

$\mathbf{Speed = 67.5\ miles/ hour}$

Hence, the speed is 67.5 miles per hour

Read more about speed and distance at:

https://brainly.com/question/21791162