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ICE Princess25 [194]

3 years ago

15

"joins" "together" Brad paints a house in 5 days. When his brother Nick joins him, they can paint a house in 3 days. How long do

es it take Nick to paint the house alone

1 answer:

Brilliant_brown [7]3 years ago

4 0

Answer:

7.5 days.

Step-by-step explanation:

Let t represent time taken by Nick in days to paint the house alone.

Part of house painted by Nick in 1 day would be $\frac{1}{t}$ .

We have been given that Brad paints a house in 5 days, so part of house painted by Brad in 1 day would be $\frac{1}{5}$ .

We are also told that when Brad's brother Nick joins him, they can paint a house in 3 days. So part of house painted by both Brad and Nick together in 1 day would be $\frac{1}{3}$ .

Now, we will equate sum of work done by both brothers with $\frac{1}{3}$ to solve for t as:

$\frac{1}{t}+\frac{1}{5}=\frac{1}{3}$

$\frac{1}{t}\times 15t+\frac{1}{5}\times 15t=\frac{1}{3}\times 15t$

$15+3t=5t$

$15+3t-3t=5t-3t$

$15=2t$

$2t=15$

$\frac{2t}{2}=\frac{15}{2}$

$t=7.5$

Therefore, it will take 7.5 days for the Nick to paint the house alone.

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Answer details:

Grade: Middle School

Subject: Banking

Chapter: Deposit ticket

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Step-by-step explanation:

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The implicit derivative with respect to the time would be

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If we multiply everything by dt we get

$dn = \frac{\pi}{8} ( \frac{r^4}{v} dp + \frac{4pr^3}{v} dr})$

Remember that the error is given by $\frac{dn}{n}$ therefore doing some algebra we get that

$\frac{dn}{n} = 4 \frac{dr}{r} + \frac{dp}{p}$

Since, r = 0.006 , dr = 0.00025 , p = 4*105 , dp = 2000 we get that

$\frac{dn}{n} = 0.1714$

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