A passenger train leaves the train depot 2 hours after a freight train left the same depot. The freight train is traveling 20mph slower than the passenger train. Find the rate of each train, if the passenger train overtakes the freight train in threehours.

Answers

Answer 1

Answer:

50 (mph)    = rate of passenger train

Step-by-step explanation:

Let the rate of  the freight train  =   R

Let the rate of the  passenger train  be R +  30

The freight train  has  been  traveling for 2 + 3   =  5 hours

And the passenger train has  been traveling for  3 hours

And they  have traveled the same distance   when  the passenger  train  overtakes the freight train

So    using rate * time  = distance we have that

R(5)  = (R + 20) 3      simplify

5R  =  3R  +  60     subtract 3R from  both sides

2R  = 60           divide  both sides  by  2

R = 30   (mph)  = rate of freight train

R +  20  =  50 (mph)    = rate of passenger train


Related Questions

A man walks 10 miles In xhours. How far does he walk in one hour?

Answers

Answer:

10

Step-by-step explanation:

Answer:

if he is walking 10 miles then in 10 hours

Step-by-step explanation:

every 1 mile is 1 hour meaning every 10 miles is every 10 hours

A cube has edge length 11 inches. Just type the number of the answer.
What is the volume?
cubic inches
What is the surface area?
square inches

Answers

Answer:   Volume = 1331   & Surface Area = 726

Step-by-step explanation:

Volume of a cube = l³

                              = (11 in)³

                              = 1331 in³

Surface area of cube = 6a²

                                   = 6 (11 in)²

                                   = 726 in²

3x – 3 + 5x = 4(2x – 3).

Answers

-9 that is the answer

Answer:

3x - 3 + 5x = 4(2x -3)

collect like terms

3x + 5x - 3 = 8x - 12

8x -3 = 8x - 12

8x -8x = 3 - 12

it's null

the expression is an indefinite one

what is the answer? 10 + (–4) =

Answers

answer

6

explanation

10+(–4)

When there is a + sign Infront of an expression with parentheses, the expression remains the same.

10–4

Subtract the numbers.

6

The answer is 6

What is the y-intercept of the function, represented by the table of values
below?
O A. 5
O B. 3
O c. 10
O D. 6

Answers

What is the other part of it with the numbers?

Geometry please help ASAP

Answers

Answer:

D) 22

Step-by-step explanation:

B is the midpoint. The midpoint is the point in a line that breaks the line into two equal segments. With that info, we know that BC = AC.

So that means:

3x - 14 = x + 10

Now solve this equation.

3x - 14 = x + 10

+14. +14

3x = x + 24

-x

2x = 24

/2. /2

X = 12.

Now we know the value of x, insert the value into x + 10.

12 + 10 = 22

The answer is 22

Answer:

B) 12

Step-by-step explanation:

Because,

3x - 14 = x + 10

3x - x = 10 + 14

2x = 24

x = 12

If two books costs $90 how much for 5 book

Answers

450 all you need to do is multiply hope this helped!!

Answer:

$450

Maybe this will help

Please answer all/as many as possible. Please number the answers!

Answers

Answer:

the answer for 8) answer= 8

Evalueate-2/5-x(-9/10) where x= 4/5​

Answers

Answer:

i think 8/25

Step-by-step explanation:

Answer:

-2 1/10

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is 2x−10y=100. Fully reduce your answer.

Answers

Answer:

2x-10y=100

-8xy=100

xy=12

-6+2u≤2 ?????????????????

Answers

Answer:

2u≤8⇒u≤4

Step-by-step explanation:

please someone help me asap i will give brainliest to correct answer!

Answers

Answer:

C

Step-by-step explanation:

it's c because this is a false statement, which means that the original statement is also a false one

so it doesn't have any answer

I don't know how to do this...

Write an equation for a parabola with​ x-intercepts (-4,0) and (2,0) which passes through the point (1,-10).

Answers

Answer:

y=2x^2+4x−16

Step-by-step explanation:

Assume that the equation of the parabola is y=ax2+bx+c.

Since the parabola passes through the point (−4,0), then 0=16a−4b+c.

Since the parabola passes through the point (2,0), then 0=4a+2b+c.

Since the parabola passes through the point (1,−10), then −10=a+b+c. Thus, we have obtained the following system:

{16a−4b+c=0; 4a+2b+c=0; a+b+c=−10

Solving it, we get that a=2, b=4, c=−16. Thus, the equation of the parabola is y=2x^2+4x−16.

The equation of a parabola is  y = -x² + x + 4 with x-intercepts at (-4,0) and (2,0) that passes through the point (1,-10).

What is the equation for a parabola?

A parabola can be represented by the equation:

y = ax² + bx + c

To find the equation of a parabola that has x-intercepts at (-4,0) and (2,0), we can set y equal to 0 and solve for x to find the x-intercepts:

0 = a(-4)² + b(-4) + c

0 = a(2)² + b(2) + c

Solving these equations for a and c gives us:

c = b(-4)

c = -2b

The parabola passes through the point (1,-10), we can substitute the values of x and y into the equation to solve for b:

-10 = a(1)² + b(1) + (-2b)

-10 = a + b - 2b

-10 = a - b

Substituting c = b(-4) into the equation gives us:

y = a x² + b x + b(-4)

Substituting a = -b and solving for b gives us:

y = (-b) x² + b x + b(-4)

y = -b(x² - x - 4)

Since the x-intercepts are at (-4,0) and (2,0), the coefficient of x², which is -b, must be positive. Therefore, we can set b = 1 to get the equation of the parabola:

y = -(1)(x² - x - 4)

y = -x² + x + 4

Thus, the equation of a parabola is y = -x² + x + 4.

Learn more about the parabola here:

brainly.com/question/4074088

#SPJ2

the sum of three numbers is 20
the first is 4 times the sum of the other two
the second is seven times the third
what is the product of all three

Answers

Answer:

A*B*C= 28

Step-by-step explanation:

A+B+C=20

1. A = 4(B+C)

2. B = 7C

3. C = C

----------------------

1.

A = 4( 7C + C )

A=4(8C)

A= 32C

---------------------

A+B+C=20

32C + 7C + C = 20

40C = 20

C = 20/40

C = 1/2

------------------------

A= 32(1/2) = 32/2 = 16

B= 7(1/2) = 7/2

C= 1/2

A*B*C = 16 * 7/2 * 1/2

A*B*C=  28

             

Need help. Image below. (Geometry)

Answers

Answer:

B is subset of A

Step-by-step explain

I think in my college

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

I’ll try let me just try

Answer:

A) 23+x = 35

x = 12

Step-by-step explanation:

The question is asking you to find the equation and variable that best represents the scenario. We know that Emily had 35 dollars and had 7 dollars after paying for everything. This means that 7 plus what she spent must equal 35. However, we only know the cost of the ticket. So, add the cost of the ticket to the money left to figure out part of the equation. This equals 23 dollars. Therefore, whatever is left must be what she spent on lunch. So, the equation should look like 23 + x = 35. This is because the $23 is the ticket/the amount left and the x is the cost of lunch. Together they equal what Emily brought to the fair.

Simplify as far as possible.
7

5

3

5

Answers

Answer:

4 sqrt(5)

Step-by-step explanation:

7 sqrt(5) - 3 sqrt(5)

These are like terms so we can subtract

4 sqrt(5)

I need help understanding this

Answers

Answer:

i got 1.28

Step-by-step explanation:

Answer:

128 questions

Step-by-step explanation:

75%•x=96

[tex]\frac{75}{100}[/tex]•x=96

x=96•[tex]\frac{100}{75}[/tex]

x=128

Simplify the expression to a polynomial in standard form (x-3)(2x²-5x-5)

Answers

[tex] = 2 {x}^{2} - - 11 {x}^{2} + 10x + 15[/tex]

hope it helps

What is 1,00000000000000000000000000 x 2,00000000000005567898765434567899876543456787654

Answers

Answer:

2

Step-by-step explanation:

caulculator

Tara looks up hotel room prices for a holiday.
A hotel has a 25% off sale on its prices.
A VAT charge of 20% must be added on at the end of the transaction after any discount.
If the regular price of a room is £80 per night, how much will Tara pay for 7 nights?

Answers

£560 a night for 7 days
Regular price £80
Discount of 25%
Price is 25% of £80 which is £60
VAT is added to it which is 20% so 20% of £60 is £72
She wants the room for 7 days so 72 *7 £144

Find A + B. Help me please.

Answers

Answer:

D.

therefore,A+B is equal to D

8. Jackie is creating a spreadsheet to keep a record of amounts she has collected
from customers for candy boxes she has sold to them. She must write a linear
equation in two variables to represent the amount collected in terms of
number of boxes sold. She has been using the table below to determine the
amount to charge.

Which linear equation in two variables can Jackie used to represent the amount of collected in terms of number boxes sold in her spread sheet?

A. y=5.5x+6.75

B.y=13.5x-1.25

C.y=13.5x+12.25

D.y=6.75x+5.5

Answers

Answer:

D. y = 6.75x + 5.5

Step-by-step explanation:

The slope intercept form:

y = mx + b, where m- slope, b- y-intercept

Use two ordered pairs from the table and work out the equation.

(1, 12.25) and (3, 25.75)

Find the slope:

m = (y₂ - y₁)/(x₂ - x₁)m = (25.75 - 12.25)/(3 - 1) = 13.5/2 = 6.75

Find the y- intercept:

12.25 = 6.75*1 + bb = 12,25 - 6.75b = 5.5

The equation is:

y = 6.75x + 5.5

Correct choice is D

(1,12.25)(3,25.75)

Slope

m=(25.75-12.25)/3-1m=6.75

Equation in point slope form

y-12.25=6.75(x-1)y=6.75x+5.5

A 3m wide road runs around a circular park whose circumference is 132m . Find the cost of fencing the outer boundary of the road at the rate of $10 per m​

Answers

Answer:

$ 1508.57 and please give brainliest

Step-by-step explanation:

The road around the park = 3 m wide,

and the circumference of the park = 132 m,

We have to find the cost of fencing

the outer boundary,

the rate = $10 per m

Step-by-step explanation:

As we know that the circumference

of a circle = 2 × 22÷7 × radius

2 × 22÷7 × radius = 132 m,

44 × radius = 132 m × 7,

44 × radius = 924 m,

radius = 924 ÷ 44 m

So, radius = 21 m ( smaller circle )

radius = 21 m + 3 m ( larger circle )

= 24 m

Usually, we fence on the borders means it's

the circumference of the larger circle

= 2 × 22÷7 × radius

= 44÷7 × 24 m

= 1056÷7 m

= 150.85 m

cost of fencing = $ 10/m

total cost = 150.85 × $ 10

= $ 1508.57

HELP PLEASEEEEEEEEEEEEEEEEEE

Answers

Answer:

19, 18, 15.5

Step-by-step explanation:

To solve this problem, you need to substitute the given values into the function.

b(x = -2) = 18 - 0.5(-2) = 18 + 1 = 19

b(x = 0) = 18 - 0.5(0) = 18 - 0 = 18

b(x = 5 ) = 18 - 0.5(5) = 18 - 2.5 = 15.5

The Empire State Building has 102 stories. The building was created at a rate of 4 1/2 stories per week. How many weeks did it take to complete the building?

Answers

Answer:

22.6

Step-by-step explanation:

102÷4 1/2=22.6

You can double check this by multiplying 22.6 with 4 1/2, which will give you the answer without it being rounded.

Christine can type 63 words in 9 minutes. What is her rate in words per minute?​

Answers

Answer:

7 words per minute

Step-by-step explanation:

63 words = 9 mins

9 mins = 63 words

1 min = 63 words/9

1 min = 7

She can type 7 words per minute

-Chetan K

Answer:

7 words per minute

Step-by-step explanation:

1. To find the unit rate (words per minutes), let's set up two ratios:

63:9 = x:1 or 63/9 = x/1

2. Now, let's solve for x to find how many words she can type per minute.

Step 1: Cross-multiply.

[tex]9 * x = 63 * 1[/tex] [tex]9x = 63[/tex]

Step 2: Divide both sides by 9.

[tex]\frac{9x}{9} = \frac{63}{9}[/tex] [tex]x = 7[/tex]  

Therefore, Christine can type 7 words per minute.

Estimate 0.03415 to the nearest hundredth. Express your answer as a single digit times a power of ten

Answers

Answer:

3 raise to power -100

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Sophia works in a clothing store and earns $40 per day. She earns an extra $5 for each outfit
she sells. If Sophia wants to earn at least $70 per day, which inequality shows the minimum
number of outfits, n, that she should sell?

Answers

Answer:

6 outfits

Step-by-step explanation:

6 x 5 = $30 + $40 = $70

Help Me please i need it right now
with Complete answer Like
What is asked?
What are given?
What operation should be used?
What is the number sentence?
Show your solution

Answers

Answer:

1.

what is asked? how far did she walk to the church?

what are given?

- the total distance from her house to the church: [tex]\frac{3}{4}km[/tex]

- the distance she rode to the church on a tricycle: [tex]\frac{1}{8} km[/tex]

what operation should be used? subtraction

what is the number sentence?

[tex]\frac{3}{4} -\frac{1}{8}=\frac{5}{8} km[/tex]

solution: [tex]\frac{5}{8} km[/tex]

2.

what is asked? how much cake did they eat in total?

what are given?

- amount Catherine ate: [tex]\frac{1}{3}[/tex]

- amount Bernard ate: [tex]\frac{3}{8}[/tex]

what operation should be used? addition

what is the number sequence? [tex]\frac{1}{3} +\frac{3}{8}=\frac{17}{24}[/tex]

solution: [tex]\frac{17}{24}[/tex] of the cake was eaten

3.

what is asked? how many kg of ground meat was left?

what is given?

-  the total amount of meat there was at the beginning: [tex]10\frac{4}{5}[/tex]kg

- amount of meat used:[tex]3\frac{2}{3}kg[/tex]

what operation should be used? subtraction

what is the number sentence? [tex]10\frac{4}{5} -3\frac{2}{3} =7\frac{2}{15} kg[/tex]

solution: [tex]7\frac{2}{15}kg[/tex] of meat was left

4.

what is asked? how far did she travel from home to school?

what is given?

- how far Jasmine travels by bus: [tex]6\frac{3}{8} km[/tex]

- how far she travels by tricycle: [tex]5\frac{2}{5} km[/tex]

what operation should be used? addition

what is the number sentence? [tex]6\frac{3}{8}+5\frac{2}{5} =11\frac{31}{40} km[/tex]

solution: [tex]11\frac{31}{40}km[/tex] traveled

5.

what is asked? how many meters of cloth were used?

what is given?

- amount of cloth used for pants:[tex]2\frac{3}{4} m[/tex]

- amount of cloth used for a skirt: [tex]1\frac{9}{10} m[/tex]

what operation should be used? addition

what is the number sentence? [tex]2\frac{3}{4}+1\frac{9}{10} =4\frac{13}{20} meters[/tex]

solution: [tex]4\frac{13}{20} meters[/tex] of cloth was used

*I wasn't sure how detailed the number sentence should be, like if work needed to be shown, so here is the image of the work

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