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Stells [14]
3 years ago
7

When three pipes fill a pool, they can finish in 12 hours. Two of the pipes can finish in 18 hours if they are working together.

How long would it take a third pipe to fill the pool on its own?
Mathematics
2 answers:
RSB [31]3 years ago
8 0

12 x3=36 36%2= 18 last one is18 hours
18 hours
ladessa [460]3 years ago
5 0
3 pipes take 12 hours
⇒ In 1 hour, the 3 pipes can fill 1/12 of the pool

2 of the pipes take 18 hours
⇒ in 1 hour, the 2 pipes can fill 1/18 of the pool

In 1 hour, the third pipe alone can fill :

\dfrac{1}{12} - \dfrac{1}{18} = \dfrac{3}{36} - \dfrac{2}{36} = \dfrac{1}{36} \text { of the pool}

Time needed :

1 \div \dfrac{1}{36} = 1 \times 36 = 36 \text { hours}

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Answer: It will take 36 hours for the third pipe to fill the pool.
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Exact answer:    divide 17/10 by 14/5.  LCD is 10, so convert 14/5 to 28/10.

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Answer with Step-by-step explanation:

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By using implicit differentiation, differentiate w.r.t x

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Using formula :\frac{dx^n}{dx}=nx^{n-1}

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Equation of tangent line with slope m and passing through the point (x_1,y_1) is given by

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Substitute the values then we get

The equation of tangent line is given by

y-1=\frac{1}{\sqrt3}(x+3\sqrt3)

y-1=\frac{x}{\sqrt3}+3

y=\frac{x}{\sqrt3}+3+1

y=\frac{x}{\sqrt3}+4

This is required equation of tangent line to the given curve at given point.

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