1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
allochka39001 [22]
2 years ago
15

Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the

opposite direction at an average speed of six miles per hour. It took Calvin 30 minutes less than it took Louisa to run the full path once. How many miles did Louisa run when she completed one circular path?
Mathematics
1 answer:
docker41 [41]2 years ago
7 0

Answer:

15 miles

Step-by-step explanation:

Let x be the miles in the circular park path, t_{L} the time Louisa takes to finish and t_{C} the time Calvin takes to finish both in hours.

Then x, the longitude is equal to the velocity times the time used to finish. So

x=5t_{L}

x=6t_{C}

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

t_{C}=t_{L}-0.5

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

5t_{L}=6t_{C}

In this last equation replace t_{C}  with the other equation and solve:

5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3

With Louisa's time find x:

x=5t_{L}\\ x=5(3)\\ x=15

You might be interested in
Is -6 greater than -17
lions [1.4K]
no -17 is greater than -6
4 0
3 years ago
Read 2 more answers
Which of the answer choices is a number between -1 and -2?<br><br> -1.2<br> -2.01<br> -0.99<br> -0
Harman [31]
The answer is A. 1.2
8 0
3 years ago
The vertices of the triangle are given. determine whether the triangle is an acute traignel, obtuse triangle
Brrunno [24]
What are the angles?

if all of them are below 90 degrees, it is acute.

if one angle is 90 degress, it is right

if one angle is more than 90 degrees, it is obtuse
8 0
3 years ago
Please hep me out !!!!!
Volgvan

Answer:

A

Step-by-step explanation:

Assuming you require the distance between the 2 points.

To calculate the distance d use the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (- 3, - 8) and (x₂, y₂ ) = (- 2, - 3)

d = \sqrt{(-2+3)^2+(-3+8)^2}

   = \sqrt{1^2+5^2}

   = \sqrt{1+25}

   = \sqrt{26} → A

7 0
2 years ago
2 cubed x what x 5 = 120 <br><br>please i really need help
marin [14]

Answer:

2x3x5=120

Step-by-step explanation:

5 0
1 year ago
Read 2 more answers
Other questions:
  • By switching service providers, a family's telephone bill decreased from about $50 a month to about $47 a month. What was the pe
    12·2 answers
  • Please help me I need a great help
    10·1 answer
  • Misha wrote the quadratic equation 0=-x2+4x-7 in standard form. what is the value of c in her equation
    12·1 answer
  • Mr. Ruarks evergreen trees grow 10 inches per year. His customer would like to purchase the trees when they reach 2 meters in he
    5·1 answer
  • The interest that Cindy earns on her investment is given by the equation l = 42t where t is the time in years that her money is
    6·2 answers
  • Which values of a and b make the following equation true?  a = 11, b = 7 a = 11, b = 10 a = 28, b = 7 a = 28, b = 10
    9·2 answers
  • PLEASEEEE HELPPPPP♥️♥️♥️​
    12·1 answer
  • Brady recorded the number and color of cars in the parking lot. 45% of the cars in the parking lot were white. If Brady counted
    8·2 answers
  • What is 2.5% of 15 530​
    6·1 answer
  • a sphere of radius 5 cm is melted down and made into a solid cube. Find the length of a side of the cube.​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!