Agents J and K work in a long hallway with 4000 equally-spaced, consecutive offices. The agents decide to walk toward each other so they can meet and have lunch together. Agent J has recently been relocated from office 2013 to office 1. His former office neighbor, Agent K, is still in office 2014. Assuming that Agent J can walk at a rate of 25 offices per minute, and Agent K walks at 36 offices per minute, what office will they meet at if they leave at the same time

Answers

Answer 1

At office 826 they will meet if they leave at the same time.

How many offices are there between agents J and K?

It is given that,

Agent J has recently been relocated from office 2013 to office 1. But his former office neighbor, Agent K is still in office 2014.

So, there are  (2014 - 1) - 1 = 2012 offices in between them.

How much time is required for them to walk the whole distance?

It is given that,

Agent J can walk at a rate of 25 offices per minute, and Agent K walks at 36 offices per minute.

So,

Per minute they cross

= 25 + 36

= 61 offices.  

Thus, the time required for crossing all the 2012 offices is,

= 2012/61

= 32.9 ≅ 33 minutes

Then,

They will meet at

1 + 25(33) = 826 office (or)

2014 - 36(33) = 826 office (Negative since opposite direction)

Therefore, both of them meet at office 826.

Refer similar problem here:

https://brainly.com/question/1267118

#SPJ4


Related Questions

All rational numbers are whole numbers? True or false

Answers

Yes this is very true

Shandra had $200 in her bank account on Monday. On Tuesday, she had a
debit of $50 and a credit of $25. How much money does Shandra have in
her bank account on Wednesday?

Answers

Answer:

175

Step-by-step explanation:

-2x^3+15x^2-22x-15; (x-3) polynomial function

Answers

Answer: Down Below

Step-by-step explanation: Solving for -2x^3 + 15x^2 - 22x - 15(x - 3) = 0

Standard form:

−2x3 + 15x2 − 37x + 45 = 0

Factorization:

−(2x − 9)(x2 − 3x + 5) = 0

State whether the triangles are similiar if so write a similarly statement for brainliest

Answers

Answer:

Step-by-step explanation:

The triangles are not similar.

The Triangles are not similar

2x-2
Given f(x) = (2x-2) / 4 solve for f-1(3).

1) 1

2) 5

3) 7

4) 8

Answers

Answer:

Your Streak is on! Answer another question tomorrow and keep it going.

Step-by-step explanation:

The team won 18 of its 30 games. What was the team’s won-lost ratio?

Answers

Answer:

18:12 (accurate)

3:2 (simplified)

Step-by-step explanation:

The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:

30 - 18 = 12

The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:

won:lost ⇒ 18:12

18:12 is the ratio.

If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:

(18)/6 : (12)/6

3:2

3:2 is your simplified ratio.

~

0.009 in scientific notation

Answers

Answer:

9 x 10^-3

Step-by-step explanation:

josh has 1/4 gallon of orange juice he wants to share it equally between to friends and himself. how much orange juice will each person drink? a 1/12 b 1/8 c 1/3 d 3/4​

Answers

Answer:

a

Step-by-step explanation:

1/4 divided by 3 = 1/(4*3) = 1/12

Please help ❤️❤️❤️❤️❤️❤️❤️

Answers

Answer:

-3/7

Step-by-step explanation:

find two lattice points

the ones I found are (-3, 3) and (4, 0)

use the slope formula

(0-3)/(4-(-3)) = -3/7

Select all the expressions equivalent to:
20a + 10b
a
5(4a + 2b)
b
10(2a + b)
C С
2(10a + 5)
2(10a + 5b)
Od
Оe
5(4a - 2b)

Answers

Answer:

5(4a + 2b)

10(2a + b)

2(10a + 5b)

Step-by-step explanation:

we are trying to find equations equivalent to (20a + 10b), so distribute

5(4a + 2b) = 20a +10b YES

10(2a + b) = 20a +10b YES

2(10a +5) = 20a + 10 NO

2(10a + 5b) = 20a +10b YES

5(4a - 2b) = 20a - 10b NO

Type the expression that results from the following series of steps:
Start with
x
, add 3, then times by 6.

Answers

Answer:

6x+18

Step-by-step explanation:

(x+3) * 6= 6(x+3)=6x+18

Answer:

6(x+3) or 6x +18

Step-by-step explanation:

x

add 3

x+3

times by 6

6(x+3)

simplify

6x+18

What is the equation for a line with a slope of 5 and a y-intercept of 11?

Answers

Answer:

y=5x+11

Step-by-step explanation:

Erik used 28 centimeters of tape to wrap 7 presents. How much tape will Erik need in all if he has to wrap 12 presents? Solve using unit rates.

Answers

Answer:

Length of tape required to wrap 12 presents is 48 centimeters.

Step-by-step explanation:

Length of tape required to wrap 7 presents = 28 centimeters

Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters

Therefore,

Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present

= 12 × 4

= 48 centimeters

(x^2+3x^2-kx-24)÷(x+3) what's the value of k??​

Answers

Answer:

-4

Step-by-step explanation:

since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;

x+3 = 0

x = -3

Substitute x = -3 into the polynomial

x^2+3x^2-kx-24 = 0

(-3)^2+3(-3)^2-(-3)k-24 = 0

9 + 27 + 3k - 24 = 0

36-24 + 3k = 0

12 = -3k

k = -12/3

k = -4

Hence the value of k is -4

(3x3_10x=2x+20)=(x-3)

Answers

Answer:

is that 3 time 3 or it is 3x? do you meant minus by using underscore?

Step-by-step explanation:

A jogger is running with an initial speed of 5 m/s. The jogger then sprints to the finish line, increasing their speed to 10 m/s over 5 seconds. What is the jogger's acceleration in m/s squared?

Answers

Answer:

Step-by-step explanation:

1 m/s square

Adele rides her bike 28 miles in 3.5 hours. How far has Adele traveled on her bike if she rides for 8 hours?

Answers

Answer:

64 miles

Step-by-step explanation:

if you divide 28 by 3.5, this gives you the number of miles per hour, I got 8. Multiply that by 8 because that is the number of hours we are looking for and you get 64. That is the answer.

Target sells 3 apples $1.50 what is the cost of 20 apples

Answers

Answer:

$10

Step-by-step explanation:

1.50 divided by 3 = 0.50

0.50 x 20 = 10

Please help it is due today

Answers

i think answer is 8in2

please talk me my answer is correct or not

Answer:

8 inches squared

Step-by-step explanation:

4 3/4 of a cube + 4 1/4 of a cube + 4 whole cubes

4 + 4 = 8

What is the y-intercept

Answers

Answer:

-2

Step-by-step explanation:

hope this helps!!!!!!!?

Find the simplest form
2 2
+
9.7

Answers

there's a random space in between the 2 and 2. not sure if it's meant to be 2.2 or 22 but i'll do both.

2.2 + 9.7 = 11.9

22 + 9.7 = 31.7

Bert is driving along a country road at a constant speed of 30 miles per hour. How long does it take for him to travel 50 miles?

Answers

30 miles/60 minutes = 50 miles/ x minutes
Cross multiply, and you have 3000 = 30x. x = 100 minutes, or 1 hour 40 minutes

The time of 1 hour 40 minutes Bert takes for him to travel 50 miles.

What is the distance?

Distance is defined as the product of speed and time.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that Bert is driving along a country road at a constant speed of 30 miles per hour

To determine the time it takes for him to travel 50 miles.

Let the time of x minutes it takes for him to travel 50 miles.

⇒ 30 miles/60 minutes = 50 miles/ x minutes

Cross multiplication apply in above equation,

⇒ 30x. x = 60x50

⇒ 3000 = 30x.

⇒ x = 100 minutes, or

1 hour 40 minutes

Learn more about distance here:

https://brainly.com/question/13269893

#SPJ2


What is the y-intercept?

Answers

Y intercept is 8
I hope this helps

Determine the equation that this graph represent

Answers

y= 3/2x + 3



and slope = rise/run
Y=3/2+3

I hope that’s right.

How can I know 20 digits of Π… ??

And not know the 10 digits of your phone number?

Answers

Answer - lol smooth 6273893

the sum of two numbers is 84 and one of them is 12 more than the other what are the two numbers​

Answers

The first number is x

The second number is y

So according to the given condition the sum of these two numbers is 84, so we can write

x+y=84 ————-(1)

Again one of them is more than 12 than the other that's why we can write,

x+12=y -------------(2)

Now putting the values of y in equation (1) we get,

x+x+12=84

=>2x+12=84

=>2x+12–12=84–12

=>2x=72

=>2x/2=72/2

=>x=36

Taking the value of x in equation(2) we get,

36+12=y

=>y=48

The two numbers are 48 and 36.

Check:

48+36=84

=>84=84

Also 48 =36+12; which is more than 12 of 36.

-20 2 -6 -18 4 -4 put them from least to greatest

Answers

-20 -18 -6 -4 2 4 this is the answer
[-20, -18 , -6 , -4 , 2 , 4 ]

What is the range of the function shown on the graph above

Answers

You did not attach a picture of the graph

Which of the following indicates that ABC and DEF are similar?

Answers

Answer:

The answer of the question is b

Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A, ΔABC ~ ΔDEF.

What are similar triangles?

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.

For the two triangles, we can denote the similarity ΔABC ~ ΔDEF.

Learn more about Similar Triangles:

https://brainly.com/question/25882965

#SPJ5

Which expression is equivalent to x^2 - 64?

Answers

Answer:

X= 8 and X=-8

Step-by-step explanation:

x^2-64

spilt into (x-8)(x+8)

set both equal to 0

0=x-8

x=8

0=x+8

x=-8

Other Questions
stion 1Which of the following statement is FALSE regarding why a SWOT Analysis is used? Worms are classified into three phyla: flatworms, roundworms, and annelids. what is the feature that distinguishes them? Solve for x.BC = 2CD =2x-6BD X+2 not waving but downing .how does the word drowing add layer of the meaning to the poem? The purchase of the economy's expanding goods and services by households, businesses, and the government is known as the Best support the theme that women often? I need the anwsers for module 5 DBA flvs civics please!!! Which is an example of a nurse applying community as client Assume that x ransomware is currently pandemic. Explain your way to protect your systems (PCs or servers) from x ransomware without service interruption if f x is a linear function, f(-1)=3, and f(1)=5, find an equation for f(x) The Head of Sales has asked the Salesforce Administrator to list all the types of record-level sharing available in Salesforce. Which of the following is related to or involving record-level sharing? .State one counselling strategy or approach the Therapist/ Counsellor used in the intervention/sessions with client Antwone fisher the movie What does h20 mean on the periodic elements chart Which of the following areas takes visual information from one side of the body and conveys it to the opposite side what is cell? why is it called cell? ___________ is a disorder that is characterized primarily by inattention, impulsivity, and hyperactivity. There is a major difference between homeostasis and allostasis. Sterling and Eyer (1988) coined the term allostasis to mean that A test of H0: m = 60 versus H1: m < 60 is performed using a significance level of alpha = 0.05. The value of the test statistic is z = 2.07. Is H0 rejected? No Yes List and detail at least two ways someone may be unethically using a device or a network. use long division to convert 3/10 into decimals.