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julsineya [31]
3 years ago
8

Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma

chine could shred a truckload of paper in 4 hours. The new machine could shred the same truckload in 2 hours. How long will it take to shred the same truckload of paper if Ron runs both shredders at the same time?
Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = \dfrac{1}{4}

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = \dfrac{1}{2}

Let 't' be the time taken by both of them working together , then we have the following equation:-

\dfrac{1}{t}=\dfrac{1}{4}+\dfrac{1}{2}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1+2}{4}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{4}\\\\\Rightarrow t=\dfrac{4}{3}=1\dfrac{1}{3}\ \text{ hours}

Since 1 hour = 60 minutes

Then, \dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

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8 0
3 years ago
Find the perimeter of a square of whose diagonal measures 12cm
Schach [20]

check the picture below.


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3 years ago
X - - 3 = 10 <br><br> What is the value of x?
Pepsi [2]

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x = 7

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4 0
2 years ago
Read 2 more answers
I need help with Q9 c, I’ve done a and b if it helps, b=325 but I am just stuck on question 9C, I know the answer is 500N (as it
777dan777 [17]

Step-by-step explanation:

I know you've already done parts a and b, but I'll show the work for that before I do c.

Draw two free body diagrams, one for the car and one for the trailer.  The car pulls the trailer forward with a tension force T, so the trailer pulls backward on the car with an equal and opposite force T.

The car also has a 1200 N forward force from the engine, and a 200 N backwards force from resistance.

The trailer has a backwards resistance force of 100 N.

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∑F = ma

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1000 − T = 900a

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∑F = ma

T − 100 = 300a

To solve the system of equations, first add the equations together.

1000 − 100 = 1200a

900 = 1200a

a = 0.75 m/s²

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T = 325 N

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The car also has a backwards 200 N force from resistance, and a backwards brake force F.

The trailer has a backwards 100 N force from resistance.

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∑F = ma

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Plugging into the first equation:

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4 0
2 years ago
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Answer:

Step-by-step explanation:

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They ask for the unit circle ,  that is a circle of one unit for the radius,  which makes it super easy to calculate things for it,  they ask what is the area, which is that famous formula, πr^{2} ,  then they ask what's its circumference.  which is that other famous formula  2πr

so to go all the way around a circle of one unit radius,  it's  2π  exactly or about 6.28..... units,   call it meters, or feet or inches, it doesn't mater here.

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7 0
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