Suppose two trains, say A and B are initially 125 miles apart on the same east-west track. Train A is initially to the west of train B. Train A begins to head due east at 25 mph, and train B begins to head due west at 20 mph. To the nearest minute, how long will it take for the two trains to collide?

Answers

Answer 1

Answer:

[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]

Step-by-step explanation:

Distance between the two trains is 125 miles.

So, when they will collide they would have covered a distance of 125 miles together.

The time that will pass for both the trains will be same but the distances covered will be different as their speeds are different.

[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

[tex]25t+20t=125\\\Rightarrow t=\dfrac{125}{45}\\\Rightarrow t=\dfrac{25}{9}\ \text{hours}=\dfrac{25}{9}\times 60\times 60=10000\ \text{s}=166.67\ \text{minutes}\\\approx 167\ \text{minutes}\\=166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]

[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]


Related Questions

The height (in feet) y of a bouncing ball and the time (in seconds) x since It was dropped, as shown in the graph below

Answers

Answer:

90 feet is the total distance,the total time will be the x value of the function's zero

Step-by-step explanation:

You have 10 coins in your pocket. Five are Susan B. Anthony dollars, two are Kennedy half-dollars, and three are presidential dollars. You randomly
choose a coin In how many ways can choosing not a presidential dollar occur?
Kennedy
half-dollar
208080
SOLO
*1999
Susan B. Anthony
dollar
WE TRUST
O
Presidential
dollar
There are
ways you can choose not a presidential dollar.

Answers

Answer:

Im not sure about this one yet

Step-by-step explanation:

but give me a alittle and I'll be bk right away

Not choosing a presidential dollar can occur in 7 ways

Calculating Number of ways for choice

Given : Total 10 coins - 5 susan anthony dollars, 2 kennedy half dollars, 3 presidential dollars

To calculate : Number of ways through which non presidential dollar can be chosen

It can be calculated using Combination Choices

The dollar chosen is out of 7 dollars - 5 susan anthony dollars & 2 kennedy half dollars, ignoring & excluding the presidential dollars

So, number of ways = 7 c 1

= 7 ways

To learn more about Combinations, refer https://brainly.com/question/20211959?referrer=searchResults

What are the domain and range of the function f(x)=square root x-7 +9?

Answers

Answer:

Domain is all real numbers greater than or equal to 7. Range is all real numbers greater than or equal to 9.

Step-by-step explanation:

The domain is possible x-values while the range is possible y-values. This question look like

[tex] \sqrt{x - 7} + 9[/tex]

The domain of square root function cant have a the radical inside being a negative number because we can't take the sqr root of a negative number and graph it on a cartisean plane We can take the sqr root of 0 . So we set x-7=0. And which x=7 so the domain is all real numbers that are equal to or greater than 7. The range of a sqr root function can only yield any positive y-values. So we must find the lowest point of it. Since the lowest x value we can possible use is 7 we plug it in

[tex] \sqrt{7- 7} + 9[/tex]

which equals 9. So the range is all real numbers greater than or equal to 9.

Answer:

I think that the short answer will be C) on edge.

Step-by-step explanation:

Edge 2021.

Helllllpppp meeeee I neeedddd hellllpppp nowwww pleaseeee

Answers

Answer:

C

Step-by-step explanation:

They are all integers so they are rational numbers, they are whole numbers as well except there are negative numbers so they are not all natural.

Anna ran 10 meters, Bill ran 15 meters, and Chloe ran 20 meters. How many centimeters did the three people run?

Answers

Answer:

Anna: 1000cm

Bill: 1500

Chloe: 2000

convert m to cm

Answer:

4500 cm

Step-by-step explanation:

1 meter = 100 cm

10 meters = 1000 cm

15 meters = 1500 cm

20 meters = 2000 cm

1000 + 1500 + 2000 = 4500 cm

Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combined volume of the two number cubes in cubic centimeters? 27 cm3 9 cm3 18 cm3 54 cm3

Answers

Answer:

They are both identical cubes which makes it much easier.

Work out the volume for just one first.

The formula for volume is:

l x w x h

However, since it is a cube, all lengths are the same.

3 x 3 x 3 = 27

Now multiply it by 2 to get the volume of both combined:

27 x 2 = 54.

In short, your answer is  54cm 3

Hope This Helps You!

Good Luck :)

Step-by-step explanation:

5x + 1 = 56

Solving 2 step equations?

Answers

Answer:

the x would equal to 11 ,so x=11

Which system of inequalities has no solution?

Answers

Answer:

i think c

Step-by-step explanation:

(4X + 7) X [5(X - 40)]

Answers

Answer:

4X + 7) =[5(X - 4)]{vertically opposite angle}

4x+7=5x-20

5x-4x=7+20

x=27

what is the total area of the figure above ?

Answers

Answer:

10*10/2=50

20^2-10^2=100

10*10/2=50

50+50=100

Step-by-step explanation:

how many terms are in this expression 5b+26t-72

Answers

Answer:

3 terms

Step-by-step explanation:

5b+26t-72

Since none of the terms are like terms, we cannot combine them

There are 3 separate terms, 5b, 26t, 72

4/8 is closest to which benchmark fraction

Answers

Answer:

It is closest to 1/2

Step-by-step explanation:

First you need to see if the fraction can be simplified or not. Thankfully this can, and we get 1/2.

Solve for x if EF = 2x + 7 and FG = 7x –9

help please I'll give brainliest

Answers

Answer:

x = 3.2

Step-by-step explanation:

Since, intercepts made by parallel lines on the transversals are in proportion.

[tex] \therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)[/tex]

AB = BC.... (given)

[tex] \implies \frac{AB}{BC} = 1..... (2)[/tex]

From equations (1) & (2)

[tex] 1 =\frac{EF}{FG}[/tex]

[tex] {FG}={EF}[/tex]

Therefore,

7x - 9 = 2x + 7

7x - 2x = 9 + 7

5x = 16

x = 16/5

x = 3.2

Please help me !!!!!!!

Answers

Answer:

C. Both (1,11) and (-1,-5)

Step-by-step explanation:

Ok so,

let's try to plug in the first ordered pair into the equation. It should look like this:

11 = 8+3

11=11      CORRECT

now let's try to plug in the second ordered pair. it should look like this:

-5 = -8+3

-5 = -5      CORRECT

hope this helps. have a good day!!

Please help!! Pleaseeee​

Answers

Answer:

pretty sure its the first and 3rd one sorry if im wrong

Step-by-step explanation:

The two large squares below each represent 1 unit
0.26 + 0.6

Answers

Answer:

0.26+0.6=0.86

Step-by-step explanation:

help fast please!!!!

Answers

Answer:

OK this is easy the answer is r=2.4

Step-by-step explanation:

so what you would do is simply add 3.1 and 1.7to get 4.8

then you would divide 4.8 by 2 and get r=2.4

graph y=-2(x-5)(x+1)

Answers

Answer:

Y=2(x-5)(x+1)

Y=2x-10+2x+2

=4x-8

Y =4x-8

Mark plans to save 2.50 each week until he saves 75.00.He uses this equation to represent the number of weeks

Answers

Answer:

2.5x = 75

Step-by-step explanation:

Annie was earning $12.50 per hour at her job. She recently received a 10% raise. She has also decided she will put 1/5 of her new salary in savings. If Annie worked 40 hours in one week, how much is she putting into savings each week?

Answers

Answer:

$110

Step-by-step explanation:

When 89.325 is divided by a certain number, it becomes 8.9325. What is the number?

Answers

Answer:

10

Step-by-step explanation:

plz mark me brainliest ;)

Please help, im confused

Answers

There are 4 bees and 12 ladybugs. So the ratio is

4 : 12

Reduce to lowest term, we get :

1 : 3

Write the unit rate for $17 for 5 cards

Answers

Answer:

$3.40 per card

Step-by-step explanation:

To find the unit rate, divide the total cost ($17) by the number of cards (5 cards):

 $17

--------------- = $3.40 per card

   5 cards

Answer: $3.4

Step-by-step explanation: If 5 cards cost $17

Divide 17 by 5 : 17/5

Your result will be 3.4

Meaning 1 card cost $3.4

HELP!!! I need help with this question

Answers

Answer:

90 90909090909090909090909090

When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3) = -10
02-2)(x+2) = -106-2)
$(-2)(x+ 3) --10-31
o-(x+3) = -10

Answers

Answer:

the answer is (x+3)

Step-by-step explanation:

-_-


Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.

2x-4=3^x+1


A.
x ≈ 3.25
B.
x ≈ 1
C.
x ≈ 2
D.
x ≈ 2.5

Answers

Answer: D. x ≈ 2.5

Step-by-step explanation: I circled the intersection in green in this attachment I provided.

As you can see, it's near 2.5 which is correct.

I really hope this is correct. I answered this one with confidence. Good luck on your test btw.

Answer:

D. x ≈ 2.5

Step-by-step explanation:

A b and c are positive integers A:B = 3:8 and B:C = is 6:11 What is the smallest possible value of a + b + c

Answers

The smallest possible value of a+b+c is 77

What is the minimum value for the function shown in the graph?

Answers

Answer:

2.5

The lowest point on the graph, or the minimum is at f(x)= 2.5

The minimum value of the given periodic function is, 2.5

What are functions?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

A periodic function,

Period  = 3π

The value of the function is in the range of (2.5, 4.5)

So,

Maximum value = 4.5

Minimum value  = 2.5

Thus, the minimum value is 2.5

To know more about Functions check:

https://brainly.com/question/5975436

#SPJ6

Jessica is a custodian at Oracle Arena. She waxes 20 m2 of the floor in 3/5 of an hour. Jessica waxes the floor at a constant rate. At this rate, how many square meters can she wax per hour?

Answers

Answer:

33.3m^2

Step-by-step explanation:

If Jessica waxes 20 m^2 of the floor in 3/5 of an hour, then;

20m^2 = 3/5 hr

To get the area that she waxes in an hour

x = 1 hr

Divide both expression

20/x = 3/5

3x = 20 * 5

3x = 100

x =100/3

x = 33.3m^2

Hence she can wax 33.3m^2 in an hour

Select the equivalent expression.
43
5-2
5
=?
Choose 1 answer:
415.510
415
510
Do 5 problems OOOO

Answers

Answer:

45448

Step-by-step explanation:

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