Agirl starts to walk to her school, which is 20 miles away, at 6: 50 and at a rate of 3 miles per hour. after a while, her dad picks her up and drives her through the remainder of the way at 30 miles per hour. if they arrived at school at 9: 00, how far did she walk? show work

The girl walked a distance of  in her way.

Further explanation:

The time can be calculated as,

Given:

It is given that a girl stands 20 miles away from the school at  and she started walking at the rate of  and then after some time her dad pick up and he drives at the rate of . They reach the school at .

Step by step explanation:

Step 1:

Consider  as the distance she walked in her way.

The speed of the girl when she walked is .

Now use the formula of time to obtain the walk time.

Since the total distance is .

Then consider  as the distance driven by the car.

The driving speed is .

Now use the formula of time to obtain the drive time.

Step 2:

Now we calculate the total time took by girl to reach the school.

Now convert the timing into hours as,

Step 3:

Total time is the sum of drive time and walk time.

The total time can be expressed as,

Now solve the above equation by cross multiply method.

Now simplify the further equation.

Simplify the further equation.

Therefore, the girl walked 5 miles.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Speed, distance and time

Keywords: girl, distance, drive, walk, drive time, dad, speed, travelled, formula, cross multiply, fraction, number, multiply, addition, subtraction, equation, school

a negative exponent is translated as follows:

so, we have

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