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I am really struggling with this word problem, I have trouble in setting up the expressions.

you have a pool with 3 pipes to fill it with.

pipes A and B take 4hrs to fill the pool,

pipes B and C take 3.75hrs to fill the pool,

and

pipes A, B, and C take 3hrs.

how many hours would it take each pipe individually to fill the pool.

Questioner:Roger

Country:Iowa, United States

Category:Calculus

Private:No

Subject:pre-calc

Question:

I am really struggling with this word problem, I have trouble in setting up the expressions.

you have a pool with 3 pipes to fill it with.

pipes A and B take 4hrs to fill the pool,

pipes B and C take 3.75hrs to fill the pool,

and

pipes A, B, and C take 3hrs.

how many hours would it take each pipe individually to fill the pool.

....................................................

Try this approach:

Let a = the flow rate of pipe A, in pph.*

b = ......................B.........

c = ......................C.........

* pph = 'pools per hour'

pipes A and B take 4hrs to fill the pool, means:

a + b = 1/4 pph

pipes B and C take 3.75hrs to fill the pool,means

b + c = 1/3.75 = 4/15 pph

and

pipes A, B, and C take 3hrs, means

a + b + c = 1/3 pph

Now you have three equations in three variables -- clear fractions and solve.

Calculus

Answers by Expert:

All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.**Education/Credentials**

(See above.)