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
Advocard [28]
3 years ago
8

A basin is filled by two pipes in 12 minutes and 16 minutes respectively. Due to the obstruction of water flow after the two pip

es have been running together for some time, the 1st pipe carries 7/8 of the carrying capacity and the 2nd pipe carries 5/6 of the carrying capacity. After removing the water barrier, the tank is full in 3 minutes. How long after the flow of water in the two pipes became normal?​
Mathematics
2 answers:
olasank [31]3 years ago
7 0

Answer:

The time duration of the two pipes restricted flow before the flow became normal is 4.5 minutes

Step-by-step explanation:

The given information are;

The time duration for the volume, V, of the basin to be filled by one of the pipe, A, = 12 minutes

The time duration for the volume, V, of the basin to be filled by the other pipe, B, = 16 minutes

Therefore, the flow rate of pipe A = V/12

The flow rate of pipe B = V/16

Due to the restriction, we have;

The proportion of its carrying capacity the first pipe, A, carries = 7/8 of the carrying capacity

The proportion of its carrying capacity the second pipe, B, carries = 5/6 of the carrying capacity

Whereby the tank is filled 3 minutes after the restriction is removed, we have;

\dfrac{7}{8} \times \dfrac{V}{12} \times t + \dfrac{5}{6} \times \dfrac{V}{16} \times t +  \dfrac{V}{12} \times 3 + \dfrac{V}{16} \times 3 = V

Simplifying gives;

\dfrac{(2\cdot t +7) \cdot V}{16}  = V

2·t + 7 = 16

t = (16 - 7)/2 = 4.5 minutes

Therefore, it took 4.5 seconds of the restricted flow before the the flow of water in the two pipes became normal

prisoha [69]3 years ago
4 0
Hope the answer above helped bro! it helped me!
You might be interested in
If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x
dybincka [34]

Answer:

The correct answer is x = 6.

Step-by-step explanation:

To solve this problem, we first must recognize that DE + EF = DF.

From this information, we can set up the following equation when we substitute in the given values:

DE + EF = DF

(4x-1) + 9 = 9x - 22

Our first step is going to be to combine like terms on the left side of the equation.  This is modeled below:

4x - 1 + 9 = 9x - 22

4x + 8 = 9x - 22

Then, we should subtract 4x from both sides of the equation.

8 = 5x - 22

Now, we can add 22 to both sides of the equation.

30 = 5x

Finally, we can divide both sides by 5.

x = 6

Therefore, the correct answer is x = 6.

Hope this helps!

6 0
3 years ago
Question 12<br> a<br> 71°<br> b<br> 78°<br> С<br> 360°<br> d<br> 438°
Ivenika [448]
The answer is 71
Hoped I help! Byejejdkdjdkkddikdeidkkeskeooslslsldldldleodkekdkdkekkekelelsisisowowwsuwisiwisisisiosowoowowssiisisisisisissiissiisisisisssosoosossososososossoosososossos
4 0
3 years ago
Read 2 more answers
Amy had $28 dollar’s to spend on school supplies. After buying 7 pens, she had $20.30 left. How much did each pen cost including
Airida [17]

Answer:

Step-by-step explanation:

If Amy started with 28 dollars and bought 7 pens, then had 20.30 dollars, we can subtract to find the price of all 7 pens.

28-20.30=7.70 dollars

now to find the amount for EACH pen, we divide by 7

7.70/7=1.1

each pen costed Amy 1 dollar and 10 cents with tax

5 0
3 years ago
Read 2 more answers
When solving a system of linear equations, try to algebraically form one equation that has only one variable.
lianna [129]
I believe the correct answer is true. <span>When solving a system of linear equations, try to algebraically form one equation that has only one variable. In this way, you can solve the value of that variable and eventually solve the other variables. Hope this answers the question. Have a nice day.</span>
3 0
3 years ago
Read 2 more answers
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s
GalinKa [24]
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

--------------------------------------------

Answers: 
x = 7 and y = 6

5 0
3 years ago
Other questions:
  • How can you rounded 2605 to the nearest hundred
    5·2 answers
  • Can area and perimeter be measured in units squared
    5·2 answers
  • Every day, you read 4 pages in 20 minutes. Your friend reads 6 pages every day at the same pace. How long does your friend read?
    10·1 answer
  • Hey guys help my please
    7·1 answer
  • Which number added to a rational number will always result in an irrational number?
    6·1 answer
  • 306 is 51% of what number?
    12·2 answers
  • How do you square pi?
    9·1 answer
  • Shoe sizes are normally distributed with a mean of 9. If Jenna has a shoe size of 6 and her z-score is -2, find
    7·1 answer
  • Convert the fraction 4/5 to a decimal.<br> SHOW WORKING.
    7·1 answer
  • Photo Below Please check the photo
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!