Two trains leave stations 252 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 100 miles per hour. How long will it take for the two trains to meet?

Answers

Answer 1

First things first, distance = speed x time
So let's have "t" represent the time by both trains.
The first train shall be Train A and the other becoming Train B, so now we have Train A going 80t miles and Train B going 100t miles.

If two trains head toward each other, they will have traveled a total of 252 miles. The faster train will have traveled further (Train B), so the meeting point will be closer to the slower train's starting point (Train A).

So now we do 80t + 100t = 252
Which becomes 180t = 252
And by diving 252 by 180, you'll get that t is 1.4
This would mean they would meet at one hour and 24 minutes.

Answer 2

Final answer:

The time it takes for two trains traveling towards each other at speeds of 80 mph and 100 mph, and starting 252 miles apart, is found by dividing the distance by their combined relative speed. It takes them 1.4 hours or 1 hour and 24 minutes to meet.

Explanation:

To solve the problem of calculating the time it takes for two trains to meet, we need to understand the concept of relative speed in motion problems. When two objects move towards each other, their relative speed is the sum of their individual speeds. In this case, one train travels at 80 miles per hour and the other at 100 miles per hour, giving us a combined relative speed of 80 mph + 100 mph = 180 mph.

The distance between the two trains is 252 miles, and to find the time taken for the trains to meet, we divide the total distance by the relative speed:

Time = Distance / Relative Speed

Time = 252 miles / 180 mph

Time = 1.4 hours or 1 hour and 24 minutes for the two trains to meet.

Related Questions

Nicole Tobin receives a salary of $250 per week plus a commission of 15% on all sales over $1500. Find her earnings during a week in which sales totaled $3000.

Answers

$700

$3000 x 15% = $450

$450 + $250 = $700

Final answer:

To calculate Nicole Tobin's earnings for a week in which her sales totaled $3000, we first determine the total sales eligible for commission and then calculate 15% commission on that amount. Adding the resulting commission to her weekly salary of $250 gives us Nicole's total earnings for the week, which are $475.

Explanation:

Nicole Tobin receives a salary of $250 per week plus a commission of 15% on all sales over $1500. To calculate her earnings during a week in which her sales totaled $3000, we need to find out the commission on the sales exceeding $1500 and then add it to her weekly salary.

First, we calculate the amount eligible for commission:

Sales = $3000

Threshold for commission = $1500

Eligible amount for commission = Total sales - Threshold for commission = $3000 - $1500 = $1500

Next, we calculate the commission:

Commission rate = 15%

Commission = Eligible amount for commission × Commission rate = $1500 × 0.15 = $225

Finally, we find Nicole's total earnings:

Weekly salary = $250

Total earnings = Weekly salary + Commission = $250 + $225 = $475

Nicole's earnings for the week are $475.

You run 6 miles in 1 hour. At this rate how long will it take you to run a marathon of 26 miles?

Answers

6 miles/ 1 hr= 26 miles/ x hrs

Cross multiplication method.

1 hr*26 miles= 26

26/6= 4 1/3

4 1/3=x

Final answer: 4 1/3 hrs or 4 hrs and 20 minutes

For which of the following is x=-5 a solution? Select all that apply. A) x+10=-5 B) -x^2+50=25 C) l2xl =10 D) x<0 E) 2x<10

Answers

Let's check each of the cases to determine the solution of the problem

case A) we have

[tex]x+10=-5[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex](-5)+10=-5[/tex]

[tex]5=-5[/tex] ------> the equation is not true

therefore

The value of [tex]x=-5[/tex] is not a solution of the equation

case B) we have

[tex]-x^{2} +50=25[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex]-(-5)^{2} +50=25[/tex]

[tex]-(25) +50=25[/tex]

[tex]25=25[/tex] ------> the equation is true

therefore

The value of [tex]x=-5[/tex] is a solution of the equation [tex]-x^{2} +50=25[/tex]

case C) we have

[tex]\left|2x\right|=10[/tex]

Substitute the value of [tex]x=-5[/tex] in the equation

[tex]\left|2(-5)\right|=10[/tex]

[tex]\left|-10\right|=10[/tex]

[tex]10=10[/tex] -----> the equation is true

therefore

The value of [tex]x=-5[/tex] is a solution of the equation [tex]\left|2x\right|=10[/tex]

case D) we have

[tex]x < 0[/tex]

Substitute the value of [tex]x=-5[/tex] in the inequality

[tex]-5 < 0[/tex] --------> the inequality is true

therefore

The value of [tex]x=-5[/tex] is a solution of the inequality [tex]x < 0[/tex]

case E) we have

[tex]2x <10[/tex]

Substitute the value of [tex]x=-5[/tex] in the inequality

[tex]2*(-5) < 10[/tex]

[tex]-10 < 10[/tex] --------> the inequality is true

therefore

The value of [tex]x=-5[/tex] is a solution of the inequality [tex]2x <10[/tex]

the answer is

[tex]-x^{2} +50=25[/tex]

[tex]\left|2x\right|=10[/tex]

[tex]x < 0[/tex]

[tex]2x <10[/tex]

Answer:

Step-by-step explanation:

-5/4x -5= -35 solve for x

Answers

x=24 im pretty sure that's the answer

-5/4x -5= -35
-5/4x = -30
x = -30 (-4/5)
x = 24

What is 10 times 7 thousands

Answers

70,000 is the answer

the length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units

Answers

24 +24 = 48

11 + 11 = 22

48 +22 = 70

the perimeter cannot be 60 with dimensions of 24 & 11

No. It cannot be 60 when the width is 11.

How to write x2+y2+2x-12y-9 in Standard form

Answers

see picture. The equation is already in standard form.

What is the value of the expression 2 + 32 ⋅ (4 − 1)?

Answers

102, first you subtract 1 from 4 so thats 3 and then you add the 32 and 2 so now all you have to do is multiply the results of 4-1 and 32+2

2 + 32 • (4 - 1)
2 + 32 • 3
2 + 96
= 98 Parenthesis
Exponents
Multiply
Divide
Addition
Subtraction

Use long division to convert -45/8 to a decimal.

A. -5.625
B. -6.252
C. 5.625
D. 6.252

Answers

The answer is A. -5.625

The answer choices are 8pie/9inches
16pie/9inches
64pie/9inches

Solve the following proportion for v. v/8=13/11 Round your answer to the nearest tenth.

Answers

Final answer:

To solve the proportion v/8 = 13/11, cross-multiply and solve for v. The value of v is approximately 9.5.

Explanation:

To solve the proportion v/8 = 13/11, we can cross-multiply and solve for v. Cross-multiplying gives us v * 11 = 8 * 13. Simplifying, we have 11v = 104. Dividing both sides by 11, we find that v = 104/11. Rounding to the nearest tenth, v ~ 9.5.

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The best length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle?

Answers

Area= b*h/2 where b is base and h is height.

Plug it into the formula.
4*2=8
8/2=4

Final answer: 4 ft^2

Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in dollars) in the past five weeks are {204, 344, 450, 482, 504}. To find the corresponding square footage of lawn mowed, construct a function that models the total area of lawn that Derek mows based on his earnings. Based on Derek's earnings, the corresponding square footage of the lawns he mowed in the past five weeks is

Answers

Assume Derek mows an area of 1,000x square feet.

then Derek earns 30 $+x $ =30+x ($)

Assume Derek earns y dollars, then

y= 30+x

to find x, the 1,000 sq feet area Derek mowed, we isolate x, that is we write x in terms of y, his earnings:

y= 30+x

x = y-30

Thus, the function A, which gives the area mowed in terms of the earnings y is :

x= A(y) = y-30

A(204)=204-30=174
A(344)=344-30=314
A(450)=450-30=420
A(482)=482-30=452
A(504)=504-30=474

Thus Derek earned 204, 344, 450, 482, 504 dollars for mowing correspondingly
174,000; 314,000; 420,000; 452,000 ; 474,000 square feet.

Answer: A(y) = y-30, is the function which gives the 1,000y square feet area mowed when earning y dollars.

Remark:

or A(x)=x-30, since x or y is a 'dummy variable', it doesn't make any difference in describing the function.

Answer:

{174,000, 134,000, 420,000, 452,000, 474,000}

What is the value of z in the equation 5z − 9 = 36? 4 5 6 9

Answers

First of all, move the known term (-9) at the left of the equal with changed sign.

5z = 36+9

5z = 45

Divide both terms by 5

5z/5 = 45/5

z = 9

5z - 9 = 36

add 9 to both sides

5z - 9 + 9 = 36 + 9

5z = 45

divide both sides by 5

5z / 5 = 45 / 5

z = 9

answer correctly for brainliest

Answers

1. D
2. C
3. E
4. A
5. B

1) D
2) C
3) E
4) A
5) B

This is true because the phrases are simply defining what is going on in the equation.

You fly in a helicopter for 20 minutes that goes at a speed of two 40 km/h how far did you go

Answers

well since 20 minutes is 0.33 hours then 40 * 0.33 = 13.2 km traveled. please make me brainiest answer that would help me out a lot

Which statement is false? A.The all them of a regular polygon is perpendicular to the side. B.the radius of a regular polygon is always greater than the all them. C.the perimeter of a regular hexagon is 6r. D.the perimeter of a regular n-gob is the area divided by the all them.

Answers

D. the perimeter of a regular n-gob is the area divided by the all them.

Can u help idk how to write it ?

Answers

You are given Maggie's planning on going to Penn State University. You are also given that she could live there if she has more than $2,000 if she already bought a laptop at $450.

For part A, the inequality that we can form is x ≥ 2,450 because she needs more than $2,000 to survive after buying a $450 dollar worth laptop. Adding the two makes it 2,450.

For part B, if she has to withdraw $30 per week, then the inequality that we can form is x ≥ 2,450 - 30

For part C,
30x ≥ 2,000
x ≥ 66.67

For part D, the answer 66.67 means that Maggie can have 66 times to withdraw $30 per week worth of food from her balance $2000.

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Answers

(3/4) / (1/6) =
3/4 * 6/1 =
18/4 =
4.5 miles per hr <==

What is the sum of 4.2•10^5 and 5.3• 10^5

Answers

if my math is correct, it should be 950,000

four times the square of a non-zero number is equal to twelve times the number.

Answers

4x^2 = 12x
4x^2 - 12x = 0
4x(x - 3) = 0

4x = 0
x = 0...not this one

x - 3 = 0
x = 3 <== ur number

3 is the number whose four times the square is equal to twelve times 3.

What is equation?

An equation is a relationship between two or more variables expressed in equal to sign. It is solved to find the value of variables. Equation of two variables will look like ax+ by=c.

How to find number?

Let the required number be x.

According to question we have to form an equation which will be:

4[tex]x^{2}[/tex]=12x

[tex]4x^{2} -12x=0[/tex]

4x(x-3)=0

4x=0, x-3=0

x=0, x=3

Non negative number=3

Hence 3 is the number whose 4 times square is equal to 12*3.

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a carpet measures 7 ft long and has a diagonal measurment of 8.60 ft . How do i solve to find the width of the carpet?

Answers

You can solve this using the Pythagorean theorem.
The Pythagorean therorem states the a^2+b^2(the sides of the triangle adjacent to the right angle) = c^2(the hypotenuse/diagonal)
Now lets plot the information into the Theorem.
7^2+b^2=8.6^2
Solve for b
49+b^2=73.96
b^2=73.96-49
b^2=24.96
b=√(24.96)
b=4.99599839872

The Width would be 4.99599839872 ft.

Hope this helps!

if a four sided figure has four right angles, then it has four congruent sides. Prove it wrong.

Answers

A rectangle is a four sided figure with four right angles but it does not have congruent sides because two of its sides are longer than the other two.

The modified expression, x3(2x + 5) – 4(2x + 5), has two terms with a common factor

Answers

Yes, the common factor is (2x+5) and the equation can be expressed as:

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

the answer is 2x + 5

What is the área of a circule with a radious of 3 meters use 3.14

Answers

Area is pie r^2.
Area= 3.14(3^2)
Area=3.14• 9
Area = 28.26.

Hey!

The formula to find the area of a circle using 3.14 for [tex] \pi [/tex] would be,
[tex]A=3.14*r^2[/tex]
For this question, the area of a circle would be,
[tex]A=3.14*3^2[/tex]
Let's simplify it.
A ≈ 28.26
Since we are using an approximation, we have to use the approximation sign (≈)

Thanks!
-TetraFish

Add 3 7/12 +2 7/9. Simplify the answer and write as a mixed number.

Answers

3 7/12 = 43/12

2 7/9 = 25/9

both denominators must be the same to add together.

(25/9)x 12

(43/12) x 9

300/108 + 387/108 =

687/108

which in its simplest form is 229/36

and in a mixed number is 6 13/36

find lowest common denominator 9 × 12 = 108
cross multiply 9 ×7 and 12 ×7
3 63/108 + 2 84/108 => 3 147/108 => 4 39/108

Find two numbers that have 2,3 and 5 as factors. What other factors do the two numbers have in common?

Answers

2,3, and 5 as factors...

30 has 2,3, and 5 as factors....
60 has 2,3, and 5 as factors...

both 30 and 60 also have common factors of 1,6,10,15,and 30

Two numbers are 30 and 60 that have 2,3 and 5 as factors.

What is LCM ?

LCM is the least common multiple of two or more that two given numbers which is exactly divisible by these given numbers.

According to the given question we have to find two numbers that have 2, 3 and 5 as common factors.

To find least such number which have common factor of 2, 3 and 5 we have to take LCM of 2, 3 and 5.

The LCM of 2, 3 and 5 is 30.

The next such possible higher numbers will be of the form 30k, where k is an integer.

At k = 2,
The number 30k will be 30(2) which is

= 60.

We can find any such form of numbers by putting different integer value of k.

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Which statement best describes the relationship between the number of cookies eaten and the number of calories consumed?

No relationship can be determined.
As the number of cookies eaten increases, the calories consumed decreases.
As the number of cookies eaten increases, the calories consumed increases.
As the number of cookies eaten decreases, the calories consumed increases.

Answers

Answer: As the number of cookies eaten increases, the calories consumed increases.

This is because the number of cookies and calories consumed have a directly proportional relationship, meaning that if one value increases, so does the other.

Answer:

As the number of cookies eaten increases, the calories consumed increases.

Step-by-step explanation:

As we can see in the graphic with more cookies we have more calories. Because for 1 cookie we have 50 calories and for 5 cookies we have 200 calories.

Then as the number of cookies increases, the calories consumed increases.

I have to find the unit rate of change. Can somebody plz explain to me how to do it. I have an idea but I don't remember exactly how.

Answers

the rate of change is the same as the slope...u can use the slope formula : (y2 - y1) / (x2 - x1), with 2 sets of points...or....according to ur graph, they want to know how many miles u can go for 1 hr. y/x.....60/1....so they can go 60 miles in 1 hr...60/1 is ur unit rate.

To find the unit rate, you should find the slope. In order to find the slope of this line, use the rise/run between two points technique. For example the rise/run between points (2,120) and (3,180) is 60/1, or 60. This means that in one hour the family's car drives 60 miles.

Hope the explanation helped!

The ratio between the number of cats (c) and the number of dogs (d) in the shelter is 3. There are 27 cats in the shelter. How many dogs are in the shelter?

Answers

27 / 3 is 9

Since the ratio is 3:1, that means for every 3 cats you get one dog.

Therefore your answer is 9

What is the value of the expression All of 4.8 multiplied by 10 to the power 9 over all of 1.6 multiplied by 10 to the power 3

Answers

4.8(10^9)/(1.6(10^3))

Pertinent quotient rule for similar bases with exponents...

(a^b)/(a^c)=a^(b-c) so what you really have is:

(4.8/1.6)(10^(9-3))

3(10^6)

3X10^6

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