Yohanne and Mikaela completed a 1-km race. Yohanne finished the race 1 minute after Mikaela. If the speed of Mikaela is 50 meters per minute faster than Yohanne's speed, how many minutes did it take Yohanne to finish the race?

Answers

Answer 1

Answer: 5 min

Step-by-step explanation:

Given

Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]

Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]

then  Mikaela speed is [tex]v_m=50+x[/tex]

the difference in the finishing time is 1 minute i.e.

[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]

Time taken by Yohanne is

[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]


Related Questions

If rectangle ABCD is reflected over x=3, does the area of the rectangle change? Explain

Answers

Answer:

Nope

Step-by-step explanation:

Rigid transformations don't change the area or perimeter of a shape.

All of above help ...

Answers

Table: The number 60 goes underneath 5.
The number 7 goes above 84.
120 under 10.
12 above 144.

Explanation: Refer to the next question. Each ratio will equal out to 1/12 so you either divide or multiply 12 for each one.
5x12=60
84/12=7
10x12=120
144/12=12

1. 1/12

Explanation:
2 packets of flavoring to 24 ounces of water, 24/2 is 12.

4. 276 ounces of water

Explanation:
12 ounces of water to every packet of flavoring so we need to multiply 23 by 12 which equals 276.

5. Yes. (9.5, 114) makes sense because it follows the ratio of 1:12. 114/9.5=12; 9.5x12=114.

6. 36/3, 66/5, 108/9, 180/15

Explanation:
24/2 = 12, multiply each bottom number by 12 and divide each top number by 12.

7. It uses multiplication because you are multiplying by 12.

Which of the following transforms this non-statistical question into a statistical question? How much food does your dog eat?

Answers

Answer:

A) Not statistical /this question is answered by counting the number of days in March. This produces a single number. This number is not answered by collecting data that vary.

B) Not Statistical/ this question is answered by a single number. It is not answered by collecting data that vary.

C) Statistical/ this question would be answered by all collecting data, and there would be variability in that data.

D) statistical/ this question would be answered by collecting data, and there would be variability in that data

E) Not Statistical/ this question is answered by a single response. It is not answered by collecting data that vary.

F) not statistical/ this question would be answered by counting the bricks. This produces a single number. This question is not answered by collecting data that very

G) non-statistical/ there is only one temperature

Answer:I think it’s possibly A it’s what I got on my test and got it right.

Josie watches a play at the theatre.
The play ends at 9:55 pm.
It takes Josie 15 minutes to get from her seat in the theatre to the bus stop.
Buses to Josie's home leave the bus top at the following times
18:25
19:25
20:25
21:05
21:25
22:05
22:25
a)
Write down the time of the earliest bus that Josie can catch.
b) How long will Josie have to wait at the bus stop for, if she catches the
earliest possible bus?

Answers

Answer:

22:25

She will wait for 15 min

Step-by-step explanation:

9:55 is 21:55 in 24h time

after 15 min it will be 22:10

the closest time will be 22:25

25-10 is 15

15 min waiting

what is the lcm of 24,30 and 36 ....pls do a step by step

Answers

24=12,6,2.......30=15,15,5.......36=18,9,3 therefore LCM = 2*2*2*3=24....2*3*5......2*2*3*3 Answer is 360

Help meeeee pweaassee!!

Answers

Answer:

7. divide both sides by 18.

8. subtract 4 from both sides.

9. add 3 on both sides.

10. multiply by 6 on both sides

Hope that helps! :3

Step-by-step explanation:

Help!
Solve for the vaule(s) of b: b- 4.3 > 16.1​

Answers

Answer:

b>20.4

Step-by-step explanation:

Through:(2,-5),slope=3/2

Answers

are you trying write it into slope intercept form ?

HELP! What is equivalent to (8.4z+2.5)+(-3.7x+5

Answers

Answer: -21x + 32z + 15

Step-by-step explanation:

what fraction of the whole garden is yellow bean plants? ​

Answers

Answer: :( 4/12

Step-by-step explanation: 75 % sure :( :(

answer:

first we multiply the 2 fractions together to get the fraction of yellow beans in the garden, then simplify the fraction

3/4×1/3=3/12=1/4

factor the expression pls! 35-40x​

Answers

Answer:

5(7-8x)

Step-by-step explanation:

Answer:

it will be 5 (7 - 8x)

Step-by-step explanation:

5 times 7 is 35 and 5 times 8 is 40

Hiram asked his math class, "How many pets do you own?" He graphed the results on the line plot.

Which of the following is the BEST description of the data?

A.The mean is about 3.1; there are no gaps or outliersa peak at 2; and the data is not symmetrical.

B. The median is 2.5; the distribution is symmetrical; and there are no gaps or outliers.

C.The range is 7there is a peak at 5; and 6, 7and are outliers

D. The mode is 2; the data is skewed to the right; and there is a gap from 3-4

Answers

Answer:

B The median is 2.5; the distribution is symmetrical; and there are no gaps or outliers.

Step-by-step explanation

when I find the median it gets to 2, 3 so I get 2.5 no gaps and 0-7 isn't that far

Answer:

B

Step-by-step explanation:

The points (0, 0), (–3, 3), and (0, 6) are three vertices of a square. What are the coordinates of the fourth vertex of the square?

Answers

Answer:

(3,3)

Step-by-step explanation:

What is the surface area of this cylinder?

Answers

Answer:

1067.6 m²

Step-by-step explanation:

Given that

r = 10 mh = 7 mπ ≈ 3.14

Find the surface area of the cylinder!

Equation =

2πr × (r+h) =

(2 × 3.14 × 10) × (10 + 7) =

62.8 × 17 ≈

1067.6 m²

The surface area of the cylinder ≈ 1067.6 square metres

_________________

#Indonesian - kexcvi

Answer:

Use this formula to calculate for the surface area of cylinder.

Step-by-step explanation:

A=2π r h+2 π r^2.

use r = 10 m and h = 7 m

2 (3.14) (10) 7 + 2 (3.14) 10 ^2. = 439.6 + 628 = 1067.6

round to the nearest hundredths = 1068

if 5 large potatoes are 1 kg how many potatoes are in 10 kg​

Answers

Answer:

10 potatoes

Step-by-step explanation:

because if 1kg has 5 then 2kg will be double the amount.

hope this helps:>

Welp I’m suck at studying n I would help u but uk.

Write a fraction for each percent.

75% of 96

Answers

Answer:

72/96

Step-by-step explanation:

factor the polynomial
4x^2 + 12 + 9

Answers

Answer:

The answer is [tex](2x+3)^2[/tex].

Step-by-step explanation:

Multiply the coefficient of the squared term and the constant. Then, find the factors that add up to 12:

[tex]4*9=36\\36:\{1*36,2*18,3*12,4*9,6*6\}\\6+6=12[/tex]

Split the middle term:

[tex]4x^2+6x+6x+9[/tex]

Factor by grouping:

[tex][4x^2+6x]+[6x+9]\\2x(2x+3)+3(2x+3)\\(2x+3)(2x+3)\\(2x+3)^2[/tex]

PLZ HELP ASAP I RLLY NEED THE HELP

Answers

Answer: just do 10.8×9×6 and divide the answer by two

Step-by-step explanation:

Answer:

the area is 27

Step-by-step explanation:

[tex]9 \times 6 \div 2 = 27[/tex]

Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest

Answers

___________________________________

[tex]\huge\underline{\tt{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶- 3(5x + 6) - 3x = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶(-15x - 18) - 3x = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶( - 15x - 3x)- 18 = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶( - 18x)- 18 = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶( - 18x) + 6x = 6 + 18}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶-12x = 24}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶\frac{-12x}{-12} = \frac{24}{-12} }[/tex]

[tex]\quad\quad\quad\quad\tt{ ⟶\frac{ \cancel{ \red{-12}} \: x}{ \cancel{ \red{-12}}} = \frac{24}{-12} }[/tex]

[tex]\quad\quad\quad\quad ⟶\boxed{\tt{x = -2}}[/tex]

[tex]\huge\underline{\tt{\red{Answer:}}}[/tex]

[tex] \huge\quad\quad \underline{\red {\boxed{ \tt{x = -2}}}}[/tex]

___________________________________

#CarryOnLearning

✍︎ C.Rose❀

The tax rate is 8.5%. What is the tax on $95 round to the nearest hundredth

Answers

Answer:

8.075 original, rounded 8.01

Step-by-step explanation:

8.5%=0.085 x 95 = 8.075 or 8.01 rounded

8.01 would be the tax rate on a $95

Danny charges $30 for 2 hours of swimming lessons, Martin charges $72 for 4 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

Danny it 60 4 2 hours u save $12

Danny, because Danny charges 15 per hr and Marin charges 18 per hr

The lenght of a rectangle is 2 units more than the width. The area of the rectangle is 48 units. What is the length, in units, of the rectangle?

Answers

Answer:

The length of this rectangle is 6 units.

Step-by-step explanation:

Let the width of the rectangle be x.

x • (x+2) = 48

x^2+2x=48

x^2+2x-48=0

x^2 - 6x + 8x - 48

x(x-6) 8(x-6)

(x+8)(x-6)

x=-8,6

Answer:

6+2=8 units..............

Parallelogram ABCD is a rectangle. What are the slopes of the sides that make this quadrilateral a rectangle?
-1/2 and 2
-2 and 1/2
.3 and 1/3
-1/3 and 3

Answers

Answer: -3 and 1/3

Step-by-step explanation:

There’s your answer

It cost $12 to attend a golf clinic with a local pro. Buckets of golf balls for practice during the clinic cost $3 each. Which inequality represents how many buckets (b) of golf balls can you buy with at least $30?

Answers

12 + 3b >/= 30 is your answer.

Please help its due soon!!​

Answers

Answer:

expand from what expression?

Answer:

a, b, c and d stay the same.

e = 108[tex]y^{3}[/tex]

f = [tex]x^{3} + x + 8[/tex]

That's all.

I hope it helps!! ^-^

Help I’ll give Brainly est

Answers

the answer is C i think

Answer:

2x is less than 8 or B

Step-by-step explanation:

When looking at the number line you got to look to see if the circle is closed or not. In this case it is a closed circle meaning to include the number. Then look at what direction it is going toward. Is it increasing? Is it decreasing? In this case it is decreasing. Meaning that 2x is less than 8

NOT A - Reason why it is not a is because 8 is not included in the range of numbers

NOT C

Plzzzz help me with this ASAP (100 points)

Answers

Answer:

7.5

Step-by-step explanation:

the answer to your question is 7.5

In circle E with m \angle DEF= 70m∠DEF=70 and DE=13DE=13 units find area of sector DEF. Round to the nearest hundredth.

Answers

Answer:

103.18units³

Step-by-step explanation:

Area of the sector DEF = theta/360 * πr²

r is the radius

theta is the angle subtended at the centre

theta =70 degrees

radius DE = 13units

Substitute

Area of the sector = 70/360 * 3.14(13)²

Area of the sector = 7/36 * 530.66

Area of the sector = 3,714.62/36

Area of the sector = 103.18units³ (to the nearest hundredth)

Answer: 103.24

Step-by-step explanation:

HELP giving brainlest and more points

Answers

Answer:

the answer is 7.2 10³

Step-by-step explanation:

7.2 10³

2. Solve 3^4x-5 = (1/27)^2x+10 for x. Show your work

I know it equals around the negatives but that's it

Answers

It looks like the equation is supposed to read

3⁴ˣ ⁻ ⁵ = (1/27)²ˣ ⁺ ¹⁰

Recall that 3³ = 27, so 1/27 = 3⁻³ :

3⁴ˣ ⁻ ⁵ = (3⁻³)²ˣ ⁺ ¹⁰

Distribute the exponent on the right side:

3⁴ˣ ⁻ ⁵ = 3 ⁻⁶ˣ ⁻ ³⁰

The exponents must be equal for this equation to hold, so

4x - 5 = -6x - 30

Solve for x :

10x = -25

x = -25/10 = -5/2

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