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
son4ous [18]
3 years ago
15

The water from one outlet, flowing at a constant rate, can fill a swimming pool in 9 hours. The water from a second outlet, flow

ing at a constant rate, can fill the same pool in 5 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
(A) 0.22
(B) 0.31
(C) 2.50
(D) 3.21
(E) 4.56
Mathematics
1 answer:
seropon [69]3 years ago
3 0

Answer: (D) 3.21

Step-by-step explanation:

Let t_A= Time taken by one outlet to fill the pool.

t_B=Time taken by second outlet to fill the pool.

Given : The time taken by one outlet to fill the entire pool : t_A= 9 hours

The time taken by second outlet to fill the entire pool : t_B= 5 hours

Now , if both outlets are used at the same time, approximately what is the number of hours required to fill the pool (T) , then the time required to fill the pool will be :_

\dfrac{1}{T}=\dfrac{1}{t_A}+\dfrac{1}{t_B}\\\\\Rightarrow =\dfrac{1}{T}=\dfrac{1}{9}+\dfrac{1}{5}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{9+5}{(9)(5)}=\dfrac{14}{45}\\\\\Rightarrow\ T=\dfrac{45}{14}=3.21428571429\approx3.21

Hence, the approximate time taken by both outlets to fill the pool together = 3.21 hours.

Thus , the correct option is  (D) 3.21

You might be interested in
- Ms. Ali needs to have her car repaired but does not want to spend more than $225
Alika [10]

Answer:

D

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Write an equation of a like that passes through the points (9,5) and (6,7)
hodyreva [135]

Answer:

y=-2/3x+11

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-5)/(6-9)

m=2/-3

m=-2/3

y-y1=m(x-x1)

y-5=-2/3(x-9)

y=-2/3x+18/3+5

y=-2/3x+6+5

y=-2/3x+11

5 0
3 years ago
Which expression is equivalent to 4 * 4 * 4 * 5 * 5?
jekas [21]

Answer:

the closests if 43 multiply by 25

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the vertices of hexagon<br>​
nata0808 [166]
Number of vertices of hexagon is 6
5 0
2 years ago
Read 2 more answers
Find the rule for 2, 1, 0, -1
natita [175]
It’s 2-1=1
1-1= 0
0-1=-1
We -1
6 0
2 years ago
Other questions:
  • Please help with this, thanks
    6·1 answer
  • What are the two multiplication problems that equal to 36?
    8·2 answers
  • What is a solution to the following system of equations?<br><br> x2 + y2 = 13 <br> 2x - y = 4
    15·1 answer
  • I need the answer plzz now
    10·1 answer
  • My number is a perfect square the only prime number in its prime factorization is 2
    6·1 answer
  • SOMEBODY HELP!! Do you see any areas in your points that could be considered clusters or outliers? Explain your answer in comple
    10·1 answer
  • The Eastons traveled 190 miles on a trip to Grandma’s house. At the end of the trip the odometer read 7,602 miles. Write and sol
    5·1 answer
  • Alton is going to flip a fair coin 350 times.
    15·1 answer
  • Help me solve this problem please
    10·1 answer
  • Pls answer fast. sydni's....
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!