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
aniked [119]
3 years ago
15

One pump can fill a reservoir in 60 hours. Another pump can fill the same reservoir in 80 hours. a third can empty the reservoir

in 90 hours. If all three pumps are operating at the same time, how long will it take to fill the reservoir?
Mathematics
2 answers:
steposvetlana [31]3 years ago
7 0

one pump, let's call it A, fills the reservoir by 1/60 every hour. Now, B fills it by 1/80 every hour. C empties it by 1/90 every hour. All three are on, so now we combine them into one function: t(1/60 + 1/80 - 1/90) = 1, where t = the time it takes to fill it, and 1 is just our "reservoir finally filled" marker.

isolate t onto one side and we see t = 720/13 exactly, or approximately 55.38 hours. let me know if this is the wrong answer but I'm pretty sure it is correct!

11111nata11111 [884]3 years ago
4 0

Answer:

1/time needed = 1/time of 1st pump + 1/time of 2nd pump - 1/time of 3rd pump

1/t = 1/t1 + 1/t2 - 1/t3

1/t = 1/60 + 1/80 - 1/90

1/t = 12/720 + 9/720 - 8/720

1/t = 13/720

t = 720/13 hours = 55.38 hours = 55 hours 23 minutes

You might be interested in
A parallelogram has an area of 37. 72 m² and a height of 4. 6 m. How long is the base of the parallelogram? Enter your answer as
antiseptic1488 [7]

Answer:

8.2 m

Step-by-step explanation:

Divide 37.72 (area) by 4.6 (height) to find the base. H x b = A

6 0
2 years ago
Perimeter and area of a rectangular figure has a perimeter of 34cm its length is 9cm​
Artemon [7]

Answer:

Perimeter of rectangle = 32

Step-by-step explanation:

32 = 2(L+B)

L+B=16

B=16-L

B=16–9

B=7

AREA = L*B

AREA = 63sq.cm

5 0
3 years ago
At a restaurant, bill and his four friends decided to divide the bill evenly. If each person paid $12, what was the total bill?
Darya [45]

Answer:

total=$60

Step-by-step explanation:

Including bill there's a total of 5 people

take what each person paid, $12, and multiply by the number of people

$12(5)=$60

7 0
3 years ago
How do you find what the IQR
jek_recluse [69]
Bow hello IQR is 21 + 1 -1 = 21
8 0
3 years ago
Read 2 more answers
Sunny earns $12 per hour delivering cakes. She worked for x hours for this week. Unfortunately,she was changed $15 for a late de
fomenos

Step-by-step explanation:

Total Wages = Number of hours worked x Hourly Wage

= 12x

Any other charges:

1)Late Delivery Charge : $15

Total Actual Wages = Total Wage - Late Delivery Charge =

12x - 15

3 0
3 years ago
Other questions:
  • Drag statements and reasons to each row to show why the slope of the line between D and E is the same as the slope between E and
    12·1 answer
  • Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3, -2), B(6, -2), C(6, 5),
    13·1 answer
  • Find the monomials <br> a. 100x^2=(?)^2<br> b. 49y^4x^6= (?)^2
    12·1 answer
  • A radar antenna, making one revolution every 5 seconds, is located on a ship that is 6 km from a straight shoreline. How fast is
    14·1 answer
  • Use the table to determine a reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 E
    9·2 answers
  • Which exponential equation is equivalent to this logarithmic equation? logx 5 + logx 12 = 7
    10·2 answers
  • I think of a number, double it and subtract 1 and then square the answer. The result is 64. What could the number be? Give two p
    13·1 answer
  • Jerome and his brother stayed at the carnival from 4pm to 8pm they spent 90 minutes watching the magic show what percentage of t
    8·2 answers
  • What are the values ?? HELP PLEASE
    6·1 answer
  • Which transformation carries the trapezoid onto itself?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!