Train A leaves a station 45 minutes before train B. Both trains travel in the same direction and their speeds are 36km/h and 48km/h respectively.
i) How long will it take train B to catch up with train A? ii) How far from the start were the two trains when they met

Answers

Answer 1

Answer:

Train B catches up with train A at 2.25 h

The two trains meet at 108 Km from the start

Step-by-step explanation:

Relative Speed

There are two trains, A and B leaving the same station. Train A leaves 45 minutes before train B at va=36 Km/h. Train B travels at vb=48 Km/h in the same direction, so they eventually meet.

i)

Calculate the head start of train A Xh, i.e. the distance it traveled in 45 minutes = 45/60=0.75 h.

[tex]X_h=36*0.75=27~Km[/tex]

When train A is 27 Km ahead, train B leaves the station. The relative speed between them is vb-ba=48 - 36 = 12 Km/h.

Thus, for train B to meet with train A, the head start must be traveled at the relative speed.

The time needed to do that is:

[tex]\displaystyle t=\frac{27~Km}{12~Km/h}[/tex]

t = 2.25 h

Train B catches up with train A at 2.25 h

ii) In the time calculated above, train B has traveled a distance of:

[tex]X_b=48~Km/h*2.25~h=108~Km[/tex]

The two trains meet at 108 Km from the start


Related Questions

I Need help on the first question please will mark brainiest

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Answer:

D

Step-by-step explanation:

Describe the products made by the process of cellular respiration.

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Step-by-step explanation:

The product is carbon dioxide and water

In the seventh grade, Rachel read 15 books.
In the eighth grade, she read 18 books.
Determine the percent of increase in the
number of books Rachel read.

Answers

Answer:

20%

Step-by-step explanation:

Calculate percentage change

from V1 = 15 to V2 = 18

(V2−V1)|V1|×100

=(18−15)|15|×100

=315×100

=0.2×100

=20%change

=20%increase

Answer:

20%

Step-by-step explanation:

find a factor of 3x^2- 16x - 12​

Answers

Answer:

x= -2/3 and 6

Step-by-step explanation:

3x²-16x-12

3x²-18x+2x-12

(3x²-18x)+(2x-12)

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(3x+2)(x-6)

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Answer:

(3x+2)(x - 6)

Step-by-step explanation:

4x + 5y = 30
5x + 3y = 31

Answers

Answer:

Sorry i don't get the question

Step-by-step explanation:

Jina bought 4 that were each the same price sales tax, she paid a total of $43,60 . a tax of $0.70 What was the price of each before tax?

Answers

Answer:

    Convert tax percentage into a decimal by moving the decimal point two spaces to the left.

    Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.

    Add the sales tax value to the pre-tax value to calculate the total cost.

Step-by-step explanation:

i hope this help you

What do you mean on the equation what are you looking for??

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Answers

Answer:

X > 15

Step-by-step explanation:

Complete the last step by simplifying the expression square root of 180What is simplified?

Answers

Answer:

about 13.

Step-by-step explanation:

sqrt of 180=13.416...

Answer:

6√5

Step-by-step explanation:

180=[tex]2^{2} *3^{2} *5[/tex]. So we can say that 180=6•6•5. So, √180=6√5.

need answer for this question please.

Answers

Answer:

y= -2x+5

Step-by-step explanation:

if thats what you are looking for

can you answer my questions quick ​

Answers

Answer:

6 servings

Step-by-step explanation:

Let's say there are x 2/3 cup servings in a 4 cup container.

We multiply 2/3 by x to get the amount of cups that will produce and set that equal to 4 (because we want 4 cups):

(2/3) * x = 4

Divide both sides by 2/3, or multiply both sides by the reciprocal 3/2:

x = 4 * (3/2) = 12/2 = 6

The answer is 6 servings.

FIRST ANSWER GETS BRAINLIEST! (WILL ONLY COUNT IF YOU ANSWER CORRECTLY)

You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?




Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40






A) $14.68




B) $13.25



C) $25.69

Answers

Answer:

A

Step-by-step explanation:

is negative 8 a term

Answers

Answer:

Negative coefficients are simply coefficients that are negative numbers. An example of a negative coefficient would be -8 in the term -8z or -11 in the term -11xy. The number being multiplied by the variables is negative.

Step-by-step explanation:

put it in your own words

yesssssssss!!!!!!!!!

You need exactly 47 bottles of water. You don’t want to buy more than you need, but you want the least expensive way. List the best way to buy exactly 47 bottles of water.

GIVING 10 POINTS PLZ DO QUICLY

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Answer: That would be 1 case  + 112 pack + 16 pack +  5 singles

Step-by-step explanation:

There are 13 boxes with 5 pencils in each box. How many pencils in all? (PLZ HELP)​

Answers

Answer:

65 pencils in all

Step-by-step explanation:

13 times 5 is 65, so 65 pencils in all.

what is the slope of (1,9) and (6,34)

Answers

Answer:

[tex]m=5[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (1, 9)

Point (6, 34)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{34-9}{6-1}[/tex]Subtract:                       [tex]m=\frac{25}{5}[/tex]Divide:                          [tex]m=5[/tex]

Answer:

The slope is 5

Step-by-step explanation:

so you use formula m= y2-y1/x2-x1 and use 34 as y2, 9 as y1, 6 as x2 and 1 as x1 then plug in numbers when using the formula and do the math and get your slope

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
45°
60°
120°
135°

Answers

Answer:

135 degrees

Step-by-step explanation:

135 is 3 times the measure of 45, and 45 + 135 equals 180. Supplementary angles add up to 180 degrees.

Answer:

Step-by-step explanation:

135

2b-m=5 what is the solution for m

Answers

Answer:

m = -5 + 2b

Step-by-step explanation:

2b - m = 5

-2b    -2b

-m = 5 - 2b

-1         -1

5 ÷ -1 = 5

-2b ÷ -1 = 2b

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What is the correct scale factor?

Answers

Answer:To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides.

Step-by-step explanation:

Hey I am super confused about the equation below. plzz help!!!

Answers

Answer:

50.

Step-by-step explanation:

12 x 45 = 540. 45 + 5 = 50.

Which of the following expressions is not equivalent to 12x + 18y?

A.
6(2x + 3y)

B.
3(4x + 18y)

C.
6(2x) + 18y

D.
6x + 9y + 6x + 9y

Answers

A. 6(2x + 3y)

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Draw the dilation of ABCD using center D and scale factor 1/3. Label the dilation EFGH

Answers

Answer:

Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3

Step-by-step explanation:

The coordinates of the quadrilateral ABCD are;

A(0, 6), B(6, 6), C(9, 0), D(0, 0)

From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3

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Answers

Answer:

2 million 2 3 divided by 3= 20000

Step-by-step explanation:

add and divide

Answer: The answer is after 10 months.

Step-by-step explanation:

So you first start trying to input random numbers up until you get to 10. You multiply 22 by 10 and add an additional 80 making it 300. While when you multiply 30 by 10 you get 300 also.

(5)(2)(-6) you must simplify

Answers

Answer:

-60 wdym simplify

Step-by-step explanation:

Lindsey’s goal is to sell at least 35 candles at each of 15 craft fairs.
She makes 24 candles each day for 20 days.
Explain whether Lindsey makes enough candles to reach her goal.
Group of answer choices

A.Lindsay makes 48 candles. She divides 48 by 24 to get 2. She does make enough candles.

B.Lindsay makes 440 candles. She divides 440 by 15 to get 29 R4. She does make enough candles.

C.Lindsay makes 44 candles. She divides 44 by 20 to get 2R 4. She does not make enough candles.

D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles.

Answers

Answer: D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles.

Step-by-step explanation: 24 times 20 is 480. That is how many she made all together.

Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles and this can be determined by using the arithmetic operations.

Given :

Lindsey’s goal is to sell at least 35 candles at each of the 15 craft fairs. She makes 24 candles each day for 20 days.

The following steps can be used in order to determine whether Lindsey makes enough candles to reach her goal:

Step 1 - The arithmetic operations can be used in order to determine whether Lindsey makes enough candles to reach her goal.

Step 2 - According to the given data, Lindsey makes 24 candles each day for 20 days. So, the total number of candles she makes at the end of 20 days is:

[tex]=24\times 20[/tex]

= 480 candles

Step 3 - Also it is given that Lindsey’s goal is to sell at least 35 candles at each of 15 craft fairs. So, the total candles required is:

[tex]=35\times 15[/tex]

= 525 candles

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/25834626

G is the circumcenter. Find BG if BG =(2x-15)

Answers

Answer:

-30

Step-by-step explanation:

i am not sure just remember getting taught it.

Jocelyn was given a gift card for a coffee shop. Each morning, Jocelyn uses the card
to buy one cup of coffee. Each cup of coffee costs $3 and the original amount of
money on the gift card was $45. Make a table of values and then write an equation for
A, in terms of x, representing the amount money remaining on the card after buying
2 cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
0
1
2
3

Answers

Answer:

0 - $45

1 - $42

2 - $39

3 - $36

3(a)=45

with 2 more cups it there would be $30 left

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = 45 - 3x ;

(0, 45);

(1, 42);

(2, 39);

(3, 36)

I WILL MARK BRAINIEST

Answers

Answer:

PARELLEL

Step-by-step explanation:

Line e and f are parallel. They don't meet. PLEASE MARK ME BRAINLIEST

$482.56 divided by 8

Answers

Not too sure, but isn’t it 60.32?

Answer:

your answer would be $60.32

Which option? Help would be appreciated greatly

Answers

Answer:

Option 4: 6^7

Step-by-step explanation:

The rule is that when multiplying same bases with different exponents, the exponents only get added.

In other words, (x^a)(x^b)=x^(a+b)

In this case, (6^3)(6^4)=6^(3+4)=6^7

Therefore, Option 4 is correct

What is the average speed of a boat that travels 57 kilometers in 3 hours?

Answers

Answer:

19 km/h

Step-by-step explanation:

average speed = total distance / total time

in this case it will be 57/3 = 19 km/h

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