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
Oduvanchick [21]
3 years ago
11

A pool has 2 pipes, one to fill and one to empty it. Ms.Charles wants to fill the pool, but she mistakenly turns on both pipes a

t the same time. The pipe that fills the pool can fill in 6 hours and the one that drains it can do that job in 10 hours. How long will it take to fill the now that both pipes are filling and emptying it at the same time?
Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0

-- The filler pipe can fill 1/6 of the pool every hour.

-- The drainer pipe can drain 1/10 of the pool every hour.

-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.

-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties.  The difference is   (1/6) - (1/10).

To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.

       1/6  =  5/30

     1/10  =  3/30 .

So in every hour,  5/30 of the pool fills, and  3/30 of the pool empties.
The result of both at the same time is that  2/30 = 1/15  fills each hour.

If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.


If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours.  With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted. 

I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week.  I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.

I hope this did not take place in California.


You might be interested in
A cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters. Actual quantities dispensed v
sammy [17]

Answer:

Step-by-step explanation:

Given that a  cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters.

Std deviation =0.015 litres

X- litres contained in a bottle is N(2.02, 0.15)

Z score is obtained as z=\frac{x-2.02}{0.015}

a) probability a bottle will contain between 2.00 and 2.03 liters

=P(2<x<2.03) = P(-1.33<Z<2)

= 0.4082+0.4772

=0.8854

b) P(X<2) = P(Z<-1.33) =0.5-0.4082 = 0.0918

c) 2% of containers

|z|<0.11

X lies between 0.6883 and 3.352 l

5 0
3 years ago
ASAP A plane is moving _[blank]_ 120 km/h.
AlladinOne [14]
A plane is moving north st 120 km/h
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to 2^4 ⋅ 2^−7?
IRISSAK [1]

the answer for this is:

subtract 7 from 4 to get -3

 you then have 2^-3

remove the negative exponent by rewriting as 1/(2^3)


4 0
3 years ago
Read 2 more answers
50 points and brainliest to correct answer
Bumek [7]

Answer:

Its below!

Step-by-step explanation:

a=l*w

9=(3+x) (2+x)

9=6+3x+2x+x^2

9=6+5x+x^2

3=5x+x^2

Hope this helps!! :)

5 0
3 years ago
5(g+8)-7=103<br>what's the answer?
castortr0y [4]
Do you need the steps? g=14
3 0
3 years ago
Read 2 more answers
Other questions:
  • Kari is flying a kite.she realeses 50feet of string.what is the approximate difference in the height of the kite when the string
    15·1 answer
  • Simplify fully<br> X squared - 8x + 15<br> Over<br> X squared + x -12
    5·2 answers
  • The stock of Company A lost $5.31 throughout the day and ended at a value of $112.69. By what percentage did the stock decline?
    6·1 answer
  • Julia bought 3 and 1/4 yards of fabric. How many 1/4 yards of fabric did julia buy?
    5·2 answers
  • one positive number is 28 less than another number. if the reciprocal of the smaller number is added to four times the reciproca
    7·1 answer
  • |6m-54|, if m&lt;9 help rsm
    9·1 answer
  • Heyyyy please helppp!
    8·2 answers
  • Plz help quickly links will get banned. and branily​
    10·1 answer
  • Twice once number added to another number is 18. If the second number is equal to 12 less than 4 times the first number, find th
    14·1 answer
  • How do I solve this
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!