Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.



A.
Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.


B.
Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.


C.
Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.


D.
Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

It's on Gradpoint

Answers

Answer 1

Answer:

D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

Step-by-step explanation:

Runner A:

Time it takes for him to finish:

t = 26.2/5.6 = 4.679 hours (to complete race)

.

Runner B:

Time it takes for him to finish:

t = 26.2/6.4 = 4.094 hours

BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.

t = 4.094 + .5 = 4.594 hours


Related Questions

The expression -320+15y represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute. What was the depth of the submarine after 15 ​minutes?

Answers

Step-by-step explanation:

Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :

-320+15y

We need to find the depth of submarine after 15 ​minutes.

Put y = 15 in the above expression.

-320+15y = -320+15(15)

= -320 + 225

= -95

Hence, the submarine is below sea level at 95 feet.

please help me im stuck!!!!

Answers

Answer: 1072.8 cm³

Step-by-step explanation:

The volume of a hemisphere: 2/3πr³

Radius = 8 cm

2/3 × 22/7 × 8³

2/3 × 22/7 × 512 = 1072.761

1072.761 ≈ 1072.8

The volume of this hemisphere is 1072.8 cm³

Hope this helped!

Find the value of a5, given the sequence defined as: a1 = 32 an = (1/2)an-1

Answers

Answer:

a5 = 2

Step-by-step explanation:

If a1 = 32,

a1 = 1/2 a0 = 32

a0 = 64

With that, we know that

a0 = 64,

a1 = 32

so, a2 is definitely 16. From that, we may know the formula,

an = a0 (1/2)^n

a5 = a0 (1/2)^5

a5 = 64 (1/32)

a5 = 2

A store is having a 25% off sale on all shirts. Select all of the possible ways to calculate the sale price for a shirt that normally costs $24.
A. 24 - (0.25 x 24)
B. (0.75) x 24
C. (0.25 x 24) x 3
D. (0.25 x 24)
E. (24 + 0.25)

Answers

Answer:

A,B, and C

Step-by-step explanation:

25%of 24 is 6, 24-6=18(new price)

A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

Sally opens a bank account with $450. If she
earns 4% simple interest per year, how much
interest will she earn in 5 years if she doesn't add
or withdraw any money during that time? Please
type the steps that you use to solve this problem
below.

Answers

Answer: 540

Step-by-step explanation:

450 × .04 = 18

18 × 5 = 90

90 + 450 = *540*

Jade has $60. She wants to buy some movies that cost $11 each. Jade wants to have at least $20 remaining.



Which of the following inequalities correctly represents the scenario?

Answers

Answer:

60-11x < 20

Step-by-step explanation:

Let's first set out all the information we know.

Jade has only $60, so we cannot go above the amount she has.Each movie costs $11She wants at LEAST $20 remaining  

So, the first thing that will be in the inequality would be $60. Since you are wasting money, you have to subtract.

The thing that will be subtracted more than once is $11, so it will have the variable "x" added to it.

What we have so far is:

60-11x

Because this is an inequality, we will have a less than sign.

After that, we can conclude that $20 will come next because that is at the end of the problem.

So, the answer is:

60-11x < 20

What is the the area of an 8x8x8 general prism

Answers

Answer:

512??

Step-by-step explanation:

um i just multipled 8x8x8 but its probably wrong- sorry

13x + 2 = 41
List the steps to fom 13x + 2

Answers

Answer: 13x + 2 = 41 = 3

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

13x+2−2=41−2

13x=39

Step 2: Divide both sides by 13.

13x

13

=

39

13

x=3

(EXTRA POINTS!!!). Margaret spins each spinner below once.
What is the probability of
both spinners landing on a number greater than 8?

A. 1/3
B. 1/6
C. 1/9
D. 1/12

Answers

Answer:

the answer is A

Step-by-step explanation:

please answer this question fast​

Answers

Answer:

348 of them are not postgraduates

Step-by-step explanation:

Answer:

348

Step-by-step explanation:

Out of 725 employees, 52% are postgraduates.

First find the percentage who are not postgraduates, or the "remaining."

100% - 52% = 48%

48% of 725 employees = how many employees?

48/100 × x/725

Cross multiply

48 × 725 = 100 × x

34800 = 100x

Divide both sides by 100

34800 ÷ 100 = 100x ÷ 100

348 = 1x

348 employees are not postgraduates

7x-3x=
what is x =
x=

Answers

Answer:

4x

Step-by-step explanation:

Brian bought beverages for his coworkers. One day he bought
3 lemonades and 4 iced teas for $12.00. The next day he bought
5 lemonades and 2 iced teas for $11.50. Find the cost of 1 lemonade
and 1 iced tea, to the nearest cent.

Answers

2.................................

The average rate of change for the function below is f(x)=x2−6x+8 when x2=1 and x1=3

Answers

Answer:

ye

Step-by-step explanation:

sorry!

the question is in the picture

Answers

Answer: 140

Step-by-step explanation: since 4 = 40 then 2 would also be 40 because they are the same angle (Keep in mind that a line is 180 degrees) 180-40=140! Good luck! :D

2^46 is how many times as many as 2^42?

Answers

Answer:

16 times as many

Step-by-step explanation:

2^46 = 70368744177664   2^42 = 4398046511104 70368744177664/4398046511104 = 16

Plsss help I don't know how to graph I will give brainiest!Plsss help I don't know how to graph I will give brainiest!

Answers

Select your 2 points

PLEASE HELP URGENT!!!!!
Need to know cos(G), sin(G), and tan(G)
WILL GIVE BRAINLIST

Answers

cos(G) = 8/17

sin(G) = 15/17

tan(G) = 15/8

I give up this is my last try for help

Answers

can you give me an exact question to answer ?

A customer buys 2 pairs of sneakers,1 pair of flip flops,and 1 pair of flats.The sales tax was $1.75.How much change did the customer receive form $30.00?

Answers

Answer:

drivers license do you like that song?

Step-by-step explanation

I got my driver's license last week

Just like we always talked about

'Cause you were so excited for me

To finally drive up to your house

But today I drove through the suburbs

Crying 'cause you weren't around

And you're probably with that blonde girl

Who always made me doubt

She's so much older than me

She's everything I'm insecure about

Yeah, today I drove through the suburbs

'Cause how could I ever love someone else?

And I know we weren't perfect but I've never felt this way for no one

And I just can't imagine how you could be so okay now that I'm gone

Guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

And all my friends are tired

Of hearing how much I miss you but

I kinda feel sorry for them

'Cause they'll never know you the way that I do

Yeah, today I drove through the suburbs

And pictured I was driving home to you

And I know we weren't perfect but I've never felt this way for no one

Oh, and I just can't imagine how you could be so okay now that I'm gone

I guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

Red lights

Stop signs

I still see your face

In the white cars

Front yards

Can't drive past the places

We used to

Go to

'Cause I still f- love you, babe

Sidewalks

We crossed

I still hear your voice

In the traffic

We're laughing

Over all the noise

God, I'm so blue

Know we're through

But I still f- love you, babe

I know we weren't perfect but I've never felt this way for no one

And I just can't imagine how you could be so okay now that I'm gone

Guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

Yeah, you said forever now I drive alone past your street

Answer:

b

Step-by-step explanation:

Can somebody help me with this please

Answers

Answer:

Domain: [ 0,∞), {x|x ≥ 0}

Range: (-∞,-4], {yly ≤ -4}

Step-by-step explanation:

This is circle theorems I am not rly good at this

Answers

Answer:

m∠BCD = 24°

Step-by-step explanation:

By the theorem,

"Angle subtended by an arc at the center of the circle is twice in measure of the angle subtended at the circumference."

m(∠BOD) = 2(m∠BFD)

                = 2(78°)

                 = 156°

Therefore, m(arc BD) = m∠BOD = 156°

Since, m(arc BD) + m(arc BFD) = 360°

156° + m(arc BFD) = 360°

m(arc BFD) = 360 - 156

                   = 204°

Since, "angle formed outside the circle by the intersection of two tangents measure half of the difference of the intercepted arcs".

m∠BCD = [tex]\frac{1}{2}[m(\text{arc BFD})-m(\text{arc BD})][/tex]

              = [tex]\frac{1}{2}[204 - 156][/tex]

              = 24°

Which expression is a factor of both x^2-9 and x^2+8x+15

Answers

Step-by-step explanation:

x^2-9=0x^2+8x+15=0

(x+5)(x+3)=0

x+5=0 or x+3=0

x=-5or x=-3

x=-5 in x^2-9=0

(-5)^2-9=0

10-9=0

1=0

x=-3 in x^2-9=0

(-3)^2-9=0

9-9=0

0=0

an art student wants to take a triangle with side lengths of 9,9, and 15 and enlarge it so that the longest side of a new triangle is 22.5. what will the length of the other two sides of the new triangle be

Answers

Answer:

13.5

Step-by-step explanation:

The longest side of the smaller triangle is 15 while that of the bigger one is 22.5

The enlargement ratio is 22.5/15 = 1.5

so the lengths of the smaller sides will be;

(1.5*9) = 13.5

what is y=8.5x contasnt of proportionality

Answers


The constant of proportionality represents the unit cost .You use the equation y = 8.5 x to calculate the total cost y in dollars for x in what ever you are buying

Problem
Jun used 56\,\text{cm}56cm56, start text, c, m, end text of ribbon to go around the edge of a rectangular lid. The lid was 13\,\text{cm}13cm13, start text, c, m, end text long.
What is the width of the lid?

Answers

Answer:

The width of the lid is 15 cm

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of width W and height H, the perimeter is calculated as:

P = 2(W + L)

Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:

2(W + L) = 56

Dividing by 2:

W + L = 28

Since the lid was L=13 cm long, the width is:

W = 28 - 13 = 15

The width of the lid is 15 cm

PLS HELP! ITS DUE SOON ILL GIVE BRAINLIEST

Answers

Answer:

I think it’s a but if not a then d

Step-by-step explanation:

Answer:

i think A

plz give me brainliest but plz correct if wrong

Step-by-step explanation:

pls help!!!
what would the answer be when it is in standard form.​

Answers

The answer in standard form is 0.297

Pleaseee help mee I will appreciate it

Answers

Answer:

Read explanation!

Step-by-step explanation:

A = $0.89

B = $0.92

C = $0.94

Plz help me w this I’m so confused :/

Answers

Y=-4x+10

I hope this helped you

5(14 – 39 ÷ 3) + 4 •

Answers

Answer:

9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

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