1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anettt [7]
2 years ago
7

There were 3 parts to Ritas race she ran the first part which was 4/9 of the total distance, in 20 minutes she ran the second pa

rt which was 2/5 of the remaining distance, in 12 minutes. She finally ran the third part in 15 minutes at the speed of 300 meters per minute.
How long was the first part of the race? What was Ritas speed in that section of the race?
Mathematics
2 answers:
shepuryov [24]2 years ago
7 0

Answer:

3/5 ..................................  6/9

Step-by-s4tep explanation:

ahrayia [7]2 years ago
5 0

Answer:

300 meters per minute

Step-by-step explanation:

<u>Step 1</u>

Determine the fraction of the total distance for each part of the race.

Given:

  • 1st part of race = 4/9 of total distance
  • 2nd part of race = 2/5 of remaining distance

\begin{aligned} \implies \sf 2nd\:part & = \sf \dfrac{2}{5}\:of\:remaining\:distance\\ & = \sf \dfrac{2}{5} \times\left(1-\dfrac{4}{9}\right)\\& = \sf \dfrac{2}{9}\:of\:total\:distance\end{aligned}

\begin{aligned}\implies \sf 3rd\:part & = \sf 1-1st\:part-2nd\:part\\& = \sf 1-\dfrac{4}{9}-\dfrac{2}{9}\\& = \sf \dfrac{1}{3}\:of\:total\:distance\end{aligned}

<u>Step 2</u>

Determine the distance of the third part of the race.

Given:

  • time = 15 minutes
  • speed = 300 meters per minute

\begin{aligned}\sf Distance & = \sf speed \times time\\& = \sf 300 \times 15\\& = \sf 4500 \:\:meters\end{aligned}

<u>Step 3</u>

If the third part of the race (which is 1/3 of the total distance) is 4500m, then the <u>distance of the whole race</u> is:

\begin{aligned} \sf Total\:distance & = \sf 4500 \times 3\\& = \sf 13500\:meters \end{aligned}

<u>Step 4</u>

Determine the distance of the 1st part of the race:

\begin{aligned}\sf Distance\:of\:1st\:part\:of\:race & = \sf \dfrac{4}{9} \:of\:total\:distance\\& = \sf \dfrac{4}{9} \times 13500\\& = \sf 6000\:meters \end{aligned}

<u>Step 5</u>

Determine the speed of the 1st part of the race:

Given:

  • time = 20 minutes
  • distance = 6000 m

\begin{aligned}\sf Speed\:of\:1st\:part\:of\:race & = \sf \dfrac{distance}{time}\\& = \sf \dfrac{6000}{20}\\ & = \sf 300\:meters\:per\:minute\end{aligned}

You might be interested in
Which of the statement is true
matrenka [14]

Answer:

c

Step-by-step explanation:

Profit = 4.5 (240)-1080 = 0

the maximum profit would occur when u sell all 350 tickets,

profit = 4.5(350)-1080 = 495 (not a nor b)

5 0
3 years ago
Read 2 more answers
How to plot numbers in a number line
ahrayia [7]
You draw a straight line and then put your number on the line. If you have to find a negative number, you can just go below zero. Positive numbers on a number line are always above zero. Hope this helps!
4 0
3 years ago
Read 2 more answers
How do I do this? (Will give brainliest) (explanation if you could)
Liula [17]
Take a photo of your screen and chose either word or math
6 0
3 years ago
Read 2 more answers
Find the A) slope B) Point Slope equation and C) Slope Intercept form of the line through points (9,18),(-4,14)
Lana71 [14]

Answer:


Step-by-step explanation:

A) Use the slope formula to find the slope  m.


m=4/13


B)  Use the point-slope formula,  y−y1=m(x−x1)  to find the equation of the line.


y=4/13x+198/13


C) Write in slope-intercept form,  y=mx+b.


y=4/13x+198/13





4 0
2 years ago
What is.. 4x-2=(x+3)+2
Contact [7]

Answer:

x = 7/3

Step-by-step explanation:

4x - 2 = x + 3 + 2

4x - 2 = x + 5

Rearranging the terms, we get,

4x - x = 5 + 2

3x = 7

x = 7/3

Hence, x = 7/3.

5 0
3 years ago
Other questions:
  • Zoe paid $ 18.60 $18.60dollar sign, 18, point, 60 in sales tax and tips for her dinner. The sales tax rate is 11 % 11%11, percen
    10·2 answers
  • Need answers for a and b <br> Thank you
    14·1 answer
  • Suppose that a coin is tossed three times and the side showing face up on each toss is noted. Suppose also that on each toss hea
    8·1 answer
  • For the series 16, 24, 36, 54,... find S7.
    6·1 answer
  • Solve the following equation for y, and then identify the slope of the line: 9x-3y=15
    5·2 answers
  • Help with algebra,_,
    7·1 answer
  • Find the angle in the table
    15·1 answer
  • What is the relationship between the 1s in 911,147,835
    11·2 answers
  • When all of the reindeer fly at night, they might experience extreme temperature changes as they fly from state to state. They s
    11·1 answer
  • Given m<br> n, find the value of x and y<br> m<br> (7x+18)<br> (5x-6)<br> (3y+11)<br> n
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!