Two friends race. The first friend gets a head start and runs at a steady rate of 0.20 miles per minute. The second friend waits 1 minute and then runs at a steady rate of 0.25 miles per minute. How long will it take for the second runner to catch up with the first?

Answers

Answer 1

Step-by-step explanation:

In this problem we are expected to solve for the time taken for the second person to meet with the first.

given that

first person's speed=0.2mph

let time taken be= x

we know that

velocity= distance/time

0.2=distance/x

distance=0.2x----1

second person's speed= 0.25mpm

time taken=x-1

we know that

velocity= distance/time

0.25=distance/x-1

distance=0.25(x-1)

distance=0.25x-0.25-----2

equating equation 1 and 2 we have

0.2x=0.25x-0.25

0.2x-0.25=-0.25

-0.05x=-0.25

divide both sides by -0.05 we have

x=-0.25/-0.05

x=5

we know that the second person's time is described by

=x-1

=5-1=4min

The second person will catch up after 4 minutes


Related Questions

Find the number represented by the prime factorization. 2^2 x 3^2 x 5​

Answers

Step-by-step explanation:

4* 9* 5

= 180

I think that is the answer

Hope it helps :)

The number represented by 2² × 3² × 5  is 180.

What is prime factorisation ?

Prime factorisation is factoring a given composite number in terms of prime numbers multiplied with each other.

Prime numbers are those numbers which are only divisible by 1 and the number it self.There are 25 prime numbers from 1 to 100 and 47 prime numbers from 1 to 200.

According to the given question the number represented by prime factorisation 2² × 3² × 5 = 4 × 9 × 5 which is

= 36 × 5

= 180.

learn more about prime factorisation here :

https://brainly.com/question/24298927

#SPJ2

Can someone help me??

Answers

Answer:

the answer is 100% d I'm sure

Answer:

$1.17

Step-by-step explanation:

change = 20 - (3.99(3) + 2.99(1) + 3.09(1) + 0.78)

            = 20 - (11.97 + 2.99 + 3.09 + 0.78)

            = 20 - 18.83

            = 1.17

A car dealer reported a 7.5% drop in sales from 895 cars. How many cars were sold?

Answers

Answer:

its is 38.6

Step-by-step explanation:

Find the midpoint of (-5,12) and (3,-6)

Answers

Answer:

mid point: (4,5)

hope that helps :)

Step-by-step explanation:

For the first one it’s 3.5 and the second one is -1.5 hope it helps!

HELP DO ALL IF U CAN SORRY MY CAP ARE ON

Answers

0.07 = 0.07

0.07 > 0.06 (or any number greater than 0.07)

0.07 < 0.08 (or any number less than 0.07)

Answer:

1) 0.07 can only equal 0.07

2) > means greater than, so the answer would be anything greater than 0.07.

3) < means less than, so the answer would be anything less than 0.07.

I hope this helped you out...have an amazing day!! C:

what are the 3 most important things you learned about evaluating functions​

Answers

Replace, substitute, plug in given values

Functions explain circumstances in which particular quantity and quality would be different. The important things about evaluating functions are below.

The evaluation collected data or information help to design curricula, assess the efficiency of innovative approaches, and highlight the regions of the requirement for change.Evaluation data is becoming increasingly valuable for guiding and advice.This same evaluation would be important just to measure the effectiveness of an existing program.

Learn more about evaluating functions​ here:

https://brainly.com/question/1291990

Write the equation of the line described that passes through (-6,8), perpendicular to y = 5x - 15
PLS ANSWER THIS PLSSSSSSSS.

Answers

Answer:

[tex]y=-\frac{1}{5}x+9\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]y-y_{1} =m(x-x_{1} )\\y-8=-\frac{1}{5} (x+6)\\y-8=-\frac{1}{5}x-\frac{6}{5}\\y=-\frac{1}{5}x+9\frac{1}{5}[/tex]

Megan's DVD club membership, which is $8, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?

(−$8) ÷ 12
(−$8) ⋅ 12
(−$8) − 12
(−$8) + 12

Answers

Answer:

Its B :D

Step-by-step explanation:

Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills. Andrew A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 18, 24. Column 2 is labeled Distance in miles with entries 1.5, 2. Karleigh A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 30, 40. Column 2 is labeled Distance in miles with entries 3, 4. Andrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance? Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 10 EndFraction mile per minute. Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 10 EndFraction mile per minute.

Answers

Answer:

ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.

That is, S = D/t

Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have

S1 = D1/t

We can then say he ran a distance

D1 = t × S1

= 3600S1

Similarly, let's say Karleigh ran a distance

D2 = t × S2

= 3600S2

Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.

Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10

D1 = 3600 × 5

= 18000

D2 = 3600 × 10

= 36000

This makes D2 bigger than D1. this is an example i found on the internet.

Step-by-

hope this helps, good luck

The ratio of the change in distance to the corresponding change in time

gives the speed of a runner.

The statement that explains who ran a greater distance is; Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.

Reasons:

The tables are;

Andrew

[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\18&&1.5\\24&&2\end{array}\right][/tex]

Karleigh

[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\30&&3\\40&&4\end{array}\right][/tex]

The duration each on the treadmills is 1 hour = 60 minutes

[tex]\displaystyle Speed = \mathbf{\frac{Change \ in \ distance}{Change \ in \ time}}[/tex]

Therefore;

[tex]\displaystyle Andrew's \ speed = \frac{2 \, miles - 1.5 \, miles}{24 \, minutes - 18\, minutes} = \mathbf{\frac{1}{12} \ mile/minute}[/tex]

[tex]\displaystyle The \ distance \ Andrew \ ran = \frac{1}{12} \ miles/min \times 60 \ min = \mathbf{5 \ miles}[/tex]

[tex]\displaystyle Karleigh's \ speed = \frac{4 \, miles - 3 \, miles}{40 \, minutes - 30 \, minutes} = \mathbf{\frac{1}{10} \, mile/minute}[/tex]

[tex]\displaystyle The \ distance \ Karleigh \ ran = \frac{1}{10} \, miles/min \times 60 \ min = \mathbf{6 \ miles}[/tex]

Therefore;

Karleigh ran a greater distance

The correct option is; Karleigh ran a greater distance. The slope of the line in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.

Learn more about formula for speed here

https://brainly.com/question/24455685

Six times a number is forty two.
Write the equation?

Answers

Answer:

6*n=42

Step-by-step explanation:

n=7 if you need that info

sam bought 2 1/5 pounds of carrots for 6.60$. what is the unit rate in cost per pound ​

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Can someone please help me with this?

Answers

An acute angle would be the correct answer. Explanation: the smaller angles below 90 degrees are acute. Hope this helps have a nice day

Answer:

Acute angle

Step-by-step explanation:

This would be an Acute since it's less the 90 degrees

It wouldn't be complementary since both angles don't add up to ninety

Solve the equation: 3(x−3) + 2x= −49

A.) x= - 8
B.) x = - 2
C.) x = - 40
D.) x= - 50/3

Answers

X = - 8 should be the answer

After you multiply a number by 9 and subtract the product from 300, the difference will be 183. Find the number.

Answers

The correct answer is 13.

(I only replied so you can give the other person the brainliest)

William must have at least $250 this month. He has already earned $100, how much more
should he earn this month? Use m to represent the amount of money he still needs to eam.

Answers

Subtract the amount he has from the amount he needs:

M = 250 -100

M = 150

He needs to earn$150 more

Answer:250-100=150

Step-by-step explanation:

What si the meaning of 3:4

Answers

Answer:

its either a ratio or a 2017 film

Step-by-step explanation:

for every 3 pieces of candy you eat, you lose 4 teeth

need help with this ​

Answers

Answer:

[tex]-5x^2-26[/tex]

Step-by-step explanation:

[tex](f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26[/tex]

Please help with these two math problems

1. 7^x ÷ 7^y =
2. z^10x^y ÷ z^5 =

Answers

Answer:

  1.  7^(x-y)

  2. z^5x^y

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

1.

  [tex]\dfrac{7^x}{7^y}=\boxed{7^{x-y}}[/tex]

__

2.

  [tex]\dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}[/tex]

Simplify (2a+5)6a^2
Can someone help please

Answers

Answer:

12a^3+30a^2

Step-by-step explanation:

6a^2(2a+5)

12a^3+30a^2

how do you graph y= -1/4x + 6? ​

Answers

Answer:

First, you look at the y-intercept. It is positive 6 so you start at 6 on the y-axis. Then you look at the slope. It is negative 1/4. It is negative so the slope goes down and it goes down on the unit and 4 units right. That is how you graph y= -1/4x + 6

What are the roots of the polynomial equation x cubed minus 7 x = 6 x minus 12? Use a graphing calculator and a system of equations.

Answers

↓Answer:

Step-by-step explanation:

It will be 504

Answer:

THE ANSWER IS B

Step-by-step explanation:

A triangle has a 90° angle. What type of triangle is it?

Answers

Answer:

Its a right triangle

Step-by-step explanation:

Answer:

It is a right angle.

Step-by-step explanation:

the length of a rectangle is 3 in. more than its width. The perimeter of the rectangle is 30 in. Find the length and width of the rectangle

Answers

Answer:

Length=9, Width=6

Step-by-step explanation:

First, you need to find out which two number have a difference of 3. Then, you will find the numbers that add up to 30. You know that, if you add 7+7+10+10, it’ll be 34, so if you try 6+6+9+9, the answer will be 30. So your final answer is length=9, and width=6.

Explaining How to S
ve an ea
What should you do to solve the equation?
45 = x + 38
O Subtract 38 from both sides.
O Add 38 to both sides.
O Subtract 45 from both sides.
O Add 45 to both sides.

Answers

You subtract 38 from both sides

Answer:

Subtract 38 from both sides.

Step-by-step explanation:

THAT DA ANSWER

IK and LN are parallel lines. Which angles are vertical angles?

Answers

Answer:

OM and JH

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertical angles are opposite angles when two lines intersects

 ∠OMN & ∠LMJ are opposite angles

∠OML and ∠NMJ are opposite angles

∠MJK and ∠IJH are opposite angles

∠MJI and KJH are opposite angles

The distance from Phoenix to Tucson is 120 miles. The distance from Phoenix to Flagstaff is about 21.7% longer. To the nearest mile, what is the distance from Phoenix to flagstaff?

Answers

Answer:

146.04

Step-by-step explanation:

120×21.7%= 26.04

21.7% of 120 miles

120+26.04= 146.04

Help pls help NOW! 35 points.

Answers

u probs don’t need this but take it as confirmation i guess:
it’s true

Evaluate the expression a=3, b=2, and c=12

Answers

Answer:

jejejwjjwjejeejekeekekeknenenenne

Answer:

Step-by-step explanation:

Sorry but please give detailed question

explain how xy and xy are diffrent

Answers

Answer:

x is the horizontal line on the middle of a graph and the y is the vertical line on the middle of a graph

Step-by-step explanation:

Answer:

xy and xy is the same, equal and congruent.

Step-by-step explanation:

By the way you write it, it looks the same.

Solve for z. Assume the equation has a solution for z, -p.(d+z) = -2z+59​

Answers

Answer:

[tex]z = \boxed{ \frac{59 + pd}{2 - p} }[/tex]

General Formulas and Concepts:
Pre-Algebra

Distributive Property

Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Expanding/Factoring

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle -p(d + z) = -2z + 59[/tex]

Step 2: Solve for z

[Distributive Property] Distribute -p:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd -pz = -2z + 59 \\\end{aligned}[/tex][Addition Property of Equality] Add -2z to both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd -pz = -2z + 59 \\& \rightarrow -pd -pz + 2z = 59 \\\end{aligned}[/tex][Addition Property of Equality] Add -pd to both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\\end{aligned}[/tex]Factor:

[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\& \rightarrow z(-p + 2) = 59 + pd \\\end{aligned}[/tex][Division Property of Equality] Divide -p + 2 on both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\& \rightarrow z(-p + 2) = 59 + pd \\& \rightarrow z = \boxed{ \frac{59 + pd}{2 - p} } \\\end{aligned}[/tex]

∴ we have solved the given equation for z.

___

Learn more about Algebra I: https://brainly.com/question/16452009

___

Topic: Algebra I

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