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
En una carrera de autos compiten William, José, Lucas, Oscar e Iván. Quien acierte los dos primeros lugares, en cualquier orden,
Nina [5.8K]
Do you speak english
4 0
3 years ago
PQRS IS A TRAPEZIUM IN PQ=16CM ,QR=12CM RS=8CM AND PQR=30° CALCULATE THE AREA OF PQRS​
Nikolay [14]

Answer:

The answer is in a picture

And♤ merry Christmas♡

Step-by-step explanation:

5 0
3 years ago
Normally a game console costs $525, but you only have $450. How much would the game console need to be discounted (as a percent)
klemol [59]

Answer: 14.29 or rounded up to 15%

Step-by-step explanation:

525 - 450 = 75

You need at least $75 off the price to have enough money.

75/525 = x/100

Solve for X

75 * 100 = 7500

7500/525 = 14.2857143

If answer should be a whole percentage you would need the discount to be 15% in order to not fall short on funds.

8 0
3 years ago
Solve the system of linear equations by elimination. <br> 9x−2y=34 <br> 5x+2y=−6
slava [35]

Answer:

x = 2

y = -8

Step-by-step explanation:

9x−2y=34 -------------------(I)

5x+2y=−6 -------------------(II)

Add equation (I) & (II) and so y will be eliminated and we could find the value of x.

(I)      9x -  2y = 34

(II)     <u>5x  + 2y = -6</u>   {add}

       14x         =   28

                 x = 28/14

x = 2

Plug in x = 2 in equation (I)

9*2 - 2y = 34

18 - 2y = 34

     -2y = 34 - 18

    -2y = 16

        y = 16/-2

        y = -8

4 0
3 years ago
Read 2 more answers
PLEASE HELP ME OUT! <br><br> 25 cm = ______ mm<br><br> 15 g = ______ mg
Alecsey [184]

Answer:

i think for the first one i think it would be 250mm

and the second one would probably i think 1500

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • The number 15, _56 rounded to the nearest thousand is 15,000. What number is the missing digit? Explain.
    15·1 answer
  • A flower shop sold 3.5 3.5 times as many roses as lilies last week. Which statement is true?
    10·1 answer
  • Suppose that it takes John 9 hours to paint a barn if he works alone and it takes Carl 6 hours to paint the same barn if he work
    11·2 answers
  • Solving equations and Inequalities 1 ) -10p=2(p-12)
    9·1 answer
  • 63 is 70% of what number
    5·2 answers
  • Todd bought a game for $36 with a coupon for 25% off. How much would it have cost without the coupon?
    15·2 answers
  • A to B is 420 mile away, A travels 40 mph and B travels 80 mph. they toward to each other. how many hour will they meet ?
    7·1 answer
  • Help please!!!!!!!!!!!!!!!!
    10·2 answers
  • Find the distance between the parallel lines
    7·1 answer
  • 13. For a party, Bob's Pizza charges $12 for each
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!