Mrs.Rosso has to travel 390 miles on a highway. She drives 130 miles in 2 hours. If she has 7 hours to travel at that rate, will she arrive at her destination on time?
A) Yes she will arrive 1 hour early
B) Yes she will arrive 4 hours early
C) No she will arrive 1 hour early
D) No she will arrive 4 hours late

Respuesta :

find rate of mph:
390/(130/2)
find how long it takes to get home:
390/65
6 hours to get home
answer is A

Answer:

The correct option is A.

Step-by-step explanation:

Total distance = 390 miles

It is given that she drives 130 miles in 2 hours.

[tex]Speed=\frac{distance}{time}[/tex]

[tex]Speed=\frac{130}{2}=65[/tex]

The speed is 65 miles per hour.

We need to find the time in which Mrs.Rosso covers 390 miles at the rate of 65 miles per hour.

[tex]Time=\frac{distance}{speed}[/tex]

[tex]Time=\frac{390}{65}[/tex]

[tex]Time=6[/tex]

It means she can cover 390 miles in 6 hours. She have 7 hours. It means  she will arrive 1 hour early.

yes, she arrive at her destination on time.

Therefore the correct option is A.