Anne’s family is driving to her uncle’s house. The family travels 383.5 miles between 10:15 a.m. and 4:45 p.m.Anne tells her family, "It’s a good thing we traveled as fast as we did. If our rate had been 50 miles per hour, we wouldn’t have gotten to his house until about …

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Answer:

  5:55 pm

Step-by-step explanation:

The arrival time is the travel time added to the start time. The travel time is given by ...

  time = distance/speed

At 50 miles per hour, the travel time would be ...

  time = 383.5/50 = 7.67 . . . . hours

The fraction of an hour is ...

  (0.67 hours)×(60 min/hour) = 40.2 min

Adding the travel time to the start time, we get an arrival time of ...

  10:15 am + 7:40 = 17:55 = 5:55 pm

Anne's family wouldn't have gotten there until about 5:55 pm.

The time will be 5:55 p.m.

Linear system

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Speed

It is the ratio of distance to time.

Given

The family travels 383.5 miles between 10:15 a.m. and 4:45 p.m.

let at a constant speed.

To find the distance between the houses.

The family travels 383.5 miles 6.5 hours.

We know the speed formula

[tex]\rm Speed = \dfrac{distance}{time}\\\\Speed = 59[/tex]

If our rate had been 50 miles per hour, we wouldn’t have gotten to his house

The time taken will be

[tex]\rm Speed = \dfrac{distance}{time}\\\\\rm Time = \dfrac{distance}{speed }\\\\Time = \dfrac{383.5}{50}\\\\Time = 7:40[/tex]

Thus the time will be 5:55 p.m.

More about the linear system link is given below.

https://brainly.com/question/20379472