3 years ago

What is the answer to 10 = -4 x?

Mathematics

1 answer:

lawyer [7]3 years ago

6 0

Solve for x
Divide both sides by -4
X= - 10/4
Now simplify by dividing top and bottom by 2
X= -5/2 or - 2 1/2

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Leokris [45]

Answer:

Jim's hose: 27 hours.

Bob's hose: 21.6 hours.

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Let t represent hours taken by Jim's hose.

Part of pool filled by Jim's hose in 1 hour would be $\frac{1}{t}$ .

We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is $0.8t$ .

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We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be $\frac{1}{12}$ .

Now, we will add rates of both hoses and equate with $\frac{1}{12}$ as:

$\frac{1}{t}+\frac{1}{0.8t}=\frac{1}{12}$

$\frac{0.8}{0.8t}+\frac{1}{0.8t}=\frac{1}{12}$

$\frac{0.8+1}{0.8t}=\frac{1}{12}$

$\frac{1.8}{0.8t}=\frac{1}{12}$

Cross multiply:

$0.8t*1=1.8(12)$

$0.8t=21.6$

$\frac{0.8t}{0.8}=\frac{21.6}{0.8}$

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Therefore, it will take 27 hours for Jim's hose to fill the pool alone.

Time take by Jim's hose alone: $0.8t\Rightarrow 0.8(27)=21.6$ .

Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.

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