The Riddle Of All Riddles...

[mcornelio]

There Are 3 Different Pumps To Fill A Pool
The First One Takes 30 Hours To Fill The Pool
The Second One Takes 40 Hours To Fill The Pool
And The Third Pump Takes 5 Days To Fill The Pool...
OK.. Now If You Combined The 3 Pumps To Pump Water Together, How Long Would It Take To Fill The Pool


Anybody??

[bigzak25]

do your own damn homework...

[BeerIsGood!]

"You surprise me again, McLean..."

[PM5K]

Don't have a pool....

[Spurminator]

15 hours

[bigzak25]

this is a guess...

x/30 + x/40 +x/120 = 1

8x/120 = 1

x=15hrs.

[RonPopeil]

I just set it and forget it.

[mcornelio]

why do i not believe that zak figured it out himself

[bigzak25]

why do i not believe that zak figured it out himself

is that another riddle?

[Kori Ellis]

Basic Algebra Forum

[Phenomanul]

this is a guess...

8x/120 = 1

x=15hrs.

the answer and math is correct... but it probably makes more sense written in the following manner:

Time * Rate = Volume
30 (hrs) * a (gal/hr) = y (gal: the full volume of pool)

Equation 1: 30*a = y
Equation 2: 40*b = y
Equation 3: 120*c = y

It then follows that:
(30*a) = (40*b) = (120*c) = y

And again since:
Time * Rate = Volume
Time(combined) * (Combined Rate of all three pumps) = Volume

Put all rates in terms of one of the others:

a = a
b = 30*a/40
c = 30*a/120
y = 30*a

Time(combined) * (a + (30*a/40) + (30*a/120)) = 30*a
Time(combined) * (2*a) = 30*a
Time(combined) = 30*a *(1/(2*a))
Time(combined) = 15 (hrs)

[PM5K]

Basic Algebra Forum

QFT

[PakiDan]

The answer is Orange.

[Spurminator]

Time * Rate = Volume
30 (hrs) * a (gal/hr) = y (gal: the full volume of pool)

Equation 1: 30*a = y
Equation 2: 40*b = y
Equation 3: 120*c = y

It then follows that:
(30*a) = (40*b) = (120*c) = y

And again since:
Time * Rate = Volume
Time(combined) * (Combined Rate of all three pumps) = Volume

Put all rates in terms of one of the others:

a = a
b = 30*a/40
c = 30*a/120
y = 30*a

Time(combined) * (a + (30*a/40) + (30*a/120)) = 30*a
Time(combined) * (2*a) = 30*a
Time(combined) = 30*a *(1/(2*a))
Time(combined) = 15 (hrs)

Yikes!

Here's my work...

30/30 + 30/40 + 30/120 = 60/30 = 2/1

30 hrs / 2 = 15 hrs

[ShoogarBear]

Is somebody going to point out that this is not a riddle?

[AlamoSpursFan]

I'm still waiting for the "Why wouldn't everyone rent their movies from Netflix?" part of the quiz.

[Guru of Nothing]

Mayonaise.

[E20]

Yikes!

Here's my work...

30/30 + 30/40 + 30/120 = 60/30 = 2/1

30 hrs / 2 = 15 hrs

There we go. Hegamoboa added so much unneccassary variables, expressions and equations.

[ShoogarBear]

Yeah, but he provided the general solution, which will work no matter what little tricks you might use to further complicate the problem.

[DisgruntledLionFan#54,927]

You throw away the outside and cook the inside. Then you eat the outside and throw away the inside. What did you eat?

[Marklar MM]

You throw away the outside and cook the inside. Then you eat the outside and throw away the inside. What did you eat?

Food

[DisgruntledLionFan#54,927]

Figures you'd be the first to answer. And nope.

[Marklar MM]

Figures you'd be the first to answer. And nope.

Are you insinuating that I am an internet ? You are probably right.

[TOP-CHERRY]

Mayonaise.

hahah, that made me laugh.

Food

That did too.

Just thought I would let you all know. SpursTalk people make me laugh.

[1Parker1]

the answer and math is correct... but it probably makes more sense written in the following manner:

Time * Rate = Volume
30 (hrs) * a (gal/hr) = y (gal: the full volume of pool)

Equation 1: 30*a = y
Equation 2: 40*b = y
Equation 3: 120*c = y

It then follows that:
(30*a) = (40*b) = (120*c) = y

And again since:
Time * Rate = Volume
Time(combined) * (Combined Rate of all three pumps) = Volume

Put all rates in terms of one of the others:

a = a
b = 30*a/40
c = 30*a/120
y = 30*a

Time(combined) * (a + (30*a/40) + (30*a/120)) = 30*a
Time(combined) * (2*a) = 30*a
Time(combined) = 30*a *(1/(2*a))
Time(combined) = 15 (hrs)

Einstein.