Jenna is driving 400 miles to visit her grandmother. She managesto travel the first 100 miles of her trip in two hours. Is she continues at this rate, how long will it take her to drive the remaining distance?

Respuesta :

Answer:

Jenna will complete remaining distance in 6 hours.

Step-by-step explanation:

Since we know that [tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]. Let us find the rate at which Jenna traveled 100 miles.

[tex]\text{Speed}=\frac{100\text{ miles}}{2\text{ hours}}[/tex]

[tex]\text{Speed}=50\frac{\text{ miles}}{\text{ hours}}[/tex]

Remaining distance is 400-100=300.

Now let us find the time Jenna will take to travel 300 miles.

[tex]\text{Time}=\frac{300}{50}[/tex]

[tex]\text{Time}=6[/tex]

Therefore, Jenna took 6 hours to complete remaining distance.