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Courtney walks 1 mph slower than Brandi does. In the time that it takes Brandi to walk 6.5 mi, Courtney walks 5 mi. Find the speed of each person

Sagot :

Answer:

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

Step-by-step explanation:

Let x = Courtney's walking speed

then

(x + 1) = Brandi's walking speed

:

Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time

6.5/x + 1 = 5/x

Cross multiply

6.5x= 5(x+1)

6.5x= 5x + 5

6.5x - 5x = 5

1.5x = 5

x = 5/1.5

x = 3.33 mph is Courtney's walking speed

Note that:

(x + 1) = Brandi's walking speed

3.33mph + 1 = 4.33mph

Therefore,

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

The Courtney's walking speed = 3.33 mph. Brandi's walking speed = 4.33 mph.

We have given that,

[tex]6.5x - 5x = 5[/tex]

Courtney's walking speed = 3.33 mph

Brandi's walking speed = 4.33 mph

Let x = Courtney's walking speed

then (x + 1) = Brandi's walking speed

What is the formula time?

Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time.

[tex]6.5/x + 1 = 5/x[/tex]

Cross multiply

[tex]6.5x= 5(x+1)[/tex]

Simplify parenthesis right side

[tex]6.5x= 5x + 5[/tex]

1.5x = 5

Isolate x.

x = 5/1.5

x = 3.33 mph is Courtney's walking speed

(x + 1) = Brandi's walking speed

3.33 mph + 1 = 4.33 mph

Therefore,Courtney's walking speed = 3.33 mph

Brandi's walking speed = 4.33 mph

To learn more about the speed visit:

https://brainly.com/question/4931057

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