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
Semenov [28]
3 years ago
5

a passenger train leaves a train depot 2.5 after a freight train leaves the same depot the passenger train is traveling 13 mph f

aster than the freight train. find the rate of each train if the passenger train overtakes the freight in 5 h
Mathematics
1 answer:
Leona [35]3 years ago
8 0

Answer:

Freight = 13 mph

Passenger = 26 mph

Step-by-step explanation:

Givens

<em><u>Freight Train</u></em>

Rate = r

time = 5 hours

distance = 5*r

<em><u>Passenger Train</u></em>

r = r + 13

t = 2.5 hours

d = (r + 13)*2.5

Formula

The distances are the same so the rate times the time can be equated.

(r + 13) * 2.5 = 5*r            

Solution

Divide both sides by 2.5

(r + 13)*2.5 / 2.5 = 5* r / 2.5

r + 13 = 2r                              Subtract r from both sides.

r - r + 13 = 2r - r

13 = r                                     Switch and divide by 1.5

r = 13                                     Freight train

r + 13 = 13 + 13 = 26 mph.    Passenger train.

Both trains traveled a distance of 65 miles.  See if you can see why.


You might be interested in
Please find the slope of (-2, 4) and (3, -5)
DIA [1.3K]

Answer:

The slope of the line = m = -9/5

Step-by-step explanation:

Given the points

  • (-2, 4)
  • (3, -5)  

Determining the slope between (-2, 4) and (3, -5)

(x₁, y₁) = (-2, 4)

(x₂, y₂) = (3, -5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

                 =  [-5 - 4] / [3 - (-2)]

                 = [-9] / [3 + 2]

                 = -9/5

Thus, the slope of the line = m = -9/5  

8 0
3 years ago
What is the value of the digit 4 in this number? Write your answer in number form. 283,234,853,023
sertanlavr [38]

Answer:

4,000,000

Or you can also say 4 million

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 9
Bad White [126]
I Think The answer is a I hope it’s right just Trying To help others
6 0
3 years ago
Read 2 more answers
Answer 44 and 48<br>only 44 and 48​
joja [24]
I know the correct answers but I need you to answer my math questions first
7 0
3 years ago
Lucy graphed the equations x + 9 y = 5 and 4 x + 15 y = negative 1 and saw that they intersected at the point (–4, 1) as shown.
aleksandrvk [35]

Answer: A

Step-by-step explanation:

You can solve a system of equations by graphing, elimination, substitution, or using a combination. The graph of a linear equation is a line. The point(s) where one line intersects another is the solution to the system. Therefore, since Lucy found that the lines intersected at the point (-4, 1), it is the solution to the system of linear equations

7 0
2 years ago
Other questions:
  • Which formula can be used to describe the sequence below?<br>27,9,3,1,...​
    14·1 answer
  • Write the sum of the numbers as the product of their GCF and another sum. 32+20
    8·1 answer
  • (Csc x)(cot x)+(sin x)
    9·1 answer
  • Stephen earns $17 an hour (h) at his job. This week, he had to buy a new uniform shirt for $25. He had $825 left of his paycheck
    10·1 answer
  • What is the value of the expression - x [ 6 + ( 4 x 2 ) ] - 5
    5·1 answer
  • What is the image of (-9,0) after a reflection over the line y=x
    7·1 answer
  • There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags?​
    8·1 answer
  • The equation of the line of best fit of a scatterplot is y = -8x + 3. What is the y-intercept?
    10·1 answer
  • Question is down below<br> ⬇️
    13·2 answers
  • A scuba diver spots a shipwreck at an angle of depression of 26°. The
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!