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
Nitella [24]
3 years ago
6

Sanjana jogged uphill for a while at an average speed of 3 miles per hour, then jogged downhill for a while at an average speed

of 8 miles per hour. If Sanjana jogged the uphill and downhill stretches in a total of 40 minutes at an average speed of 4 miles per hour, how far did she jog uphill?
Mathematics
1 answer:
brilliants [131]3 years ago
6 0

Answer:

She jogged uphill for 1.6 miles

Step-by-step explanation:

Given:

Uphill speed = 3 miles per hour

Downhill speed = 8 miles per hour

Total time to cover uphill and downhill = 40 minutes = \frac{40}{60} hours

Average speed = 4 miles per hour

Now,

Let the distance of uphill be 'x'

and downhill distance be 'y'

Time = \frac{\textup{Distance}}{\textup{Speed}}

therefore,

\frac{x}{3}+\frac{y}{8}=\frac{40}{60}

or

\frac{8x+3y}{3\times8}=\frac{2}{3}

or

8x + 3y = 16  ...........(1)

also,

Average speed = \frac{\textup{Total distance}}{\textup{Total time}}

or

4 = \frac{\textup{x+y}}{\frac{40}{60}}

or

4 × 40 = 60(x + y)

or

3x + 3y = 8  

or

3y = 8 - 3x         ............(2)

substituting 2 in 1, we get

8x + (8 - 3x) = 16

or

5x + 8 = 16

or

5x = 8

or

x = 1.6 miles

and,

3y = 8 - 3x  

or

3y = 8 - 3(1.6)  

or

3y = 8 - 4.8

or

y = 1.067 miles

Hence,

She jogged uphill for 1.6 miles

You might be interested in
Please help me find the y-intercept
solong [7]

Answer:

The y intercept is (0,-1)

Step-by-step explanation:

To find the y intercept, let x = 0

y = -x^2 -6x-1

y = -0^2-6(0) -1

y = -1

The y intercept is (0,-1)

5 0
2 years ago
How do you find the area of a triangle
motikmotik
A=1/2b(h) this is the formula to find the area of a triangle
6 0
3 years ago
Read 2 more answers
Please this is my last point I really need help <br> Show workings
Lisa [10]

Answer:

x = 14.375

Step-by-step explanation:

Ok, so we know that a triangle has a total interior degree of 180°. And since we already have a 95° angle, we just need to subtract 95 from 180.

180° - 95° = 85°

Now, we already have indicators that two of the three sides are equal. And we already got the angle of the side that does not have a matching partner. So we just need to divide what we already have by 2.

85° / 2 = 42.5°

Now that we know each side is 42.5 degrees, we just need to grab our given equation and put and equal sign at the end with what we already know is the answer (since we are trying to solve for <em>x</em>).

(4x - 15) = 42.5

Now, let's just get rid of those useless parentheses.

4x - 15 = 42.5

Next, we just need to have the variable on its own side, all by itself. So, in order to do that, we just add 15 to both sides.

4x = 57.5

Now, for our final step, we just need to divide each side by our variables' factor (which is a positive 4). In which we get our final answer of:

x = 14.375

4 0
3 years ago
Read 2 more answers
Write three ways to find different bases for 64
bixtya [17]
8^2, 4^3, and 2^6 are 3 ways
4 0
4 years ago
Running Problem, Please Help!!!
kap26 [50]

Answer:

400

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Konnor wants to burn 250 calories while exercising for 45 minutes at the gym. on the treadmill, he can burn 6 cal/min. on the st
    6·1 answer
  • The Latin Club charted a bus to travel to and participate in a state competition. The cost for each adult to ride the bus was $2
    15·1 answer
  • Alx+b) = 4x + 10
    10·1 answer
  • What are possible inputs for 10x +7.5y=420
    14·1 answer
  • A newspaper article about the results of a poll states: "In theory, the results of such a poll, in 99 cases out of 100 should di
    6·1 answer
  • Question 6<br> Find the area of the rhombus below.<br> 5 ft<br> ーー<br> 8 ft<br> A=<br> feet squared
    9·1 answer
  • The equivalent expression for (x-6)(4)
    5·1 answer
  • AD is a diameter of E. CE is perpendicular to AD.
    14·2 answers
  • Are the terms 5x²andy 5y² like terms?
    9·1 answer
  • What are other ways that people may feel when expressing who they are as a person? How does this impact their self-
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!