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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Answer:

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Step-by-step explanation:

1/9 as a decimal is 0.11111111 but rounded to 2 decimal places is 0.111.

Hope this helps :)

Have a good day / night

Step-by-step explanation:

1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!

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Step-by-step explanation:

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Kayden Kohl

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Answer:

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Step-by-step explanation:

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