Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf’s average speed. How fast does Red Riding Hood drive?

Answers

Answer 1

Using the relationship between velocity, distance and time, it is found that Red Riding Hood drives at 54 mph.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route, at a speed of 6 mph faster, hence the equations are:

[tex]v = \frac{432}{t}[/tex]

[tex]v + 6 = \frac{432}{t - 1}[/tex]

From the first equation:

[tex]t = \frac{432}{v}[/tex]

Replacing on the second equation:

[tex]v + 6 = \frac{432}{t - 1}[/tex]

[tex]v + 6 = \frac{432}{\frac{432}{v} - 1}[/tex]

[tex]v + 6 = \frac{432v}{432 - v}[/tex]

[tex]432v - v^2 + 2592 - 6v = 432v[/tex]

[tex]v^2 + 6v - 2592 = 0[/tex]

(v + 54)(v - 48) = 0.

The velocity is positive, hence:

v - 48 = 0 -> v = 48 mph.

Red Riding Hood drives 6 mph faster than Wolf, hence:

v + 6 = 48 + 6 = 54 mph.

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Answer 2

Answer: 54 mph.

Step-by-step explanation:

took the test and got it  correct. edge.


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Step-by-step explanation:

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the answer is 19 percent

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learn more on pie chart here: https://brainly.com/question/12265375

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Answer: Hope This Helps

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Answer:

Step-by-step explanation:

10 to  the power of -1 = 0.1

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Answer:

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

B

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3t - 5

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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mark me brainliest :D

1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be completely shaded? Why?

Answers

Answer:

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Step-by-step explanation:

If it is even, divisible by 2

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You are welcome,

Kayden Kohl

8th Grade

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