In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 6 minutes. If both belts are​ used, find how long it takes to move the cans to the storage area.

Answers

Answer 1

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable

            aluminum from the delivery truck to a storage area. A smaller belt

            moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are​ used, find how long it takes to move the cans

              to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = [tex]\frac{1}{4}[/tex] shifting/min

Rate of Smaller Belt = [tex]\frac{1}{6}[/tex] shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = [tex]\frac{1}{x}[/tex] shifting/min

Now,

[tex]\frac{1}{4}[/tex]  + [tex]\frac{1}{6}[/tex]  = [tex]\frac{1}{x}[/tex]

⇒[tex]\frac{6 + 4}{24} = \frac{1}{x}[/tex]

⇒[tex]\frac{10}{24} = \frac{1}{x}[/tex]

⇒10x = 24

⇒x = [tex]\frac{24}{10}[/tex] = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.


Related Questions

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Answers

Answer:

f(x)=9x-7

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f(0)=9×0-7=-7

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What is the area of the square given the side length 20.5in

Answers

Answer: 420.25in^2

Step-by-step explanation:

Area of Square = s^2

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And to find the area of a Square it would be A side times a side.

So, 20.5x20.5

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Answers

Answer:

29.3

Step-by-step explanation:

to find average you find the sum of all the minutes she practiced and divide it by the total amount of day she practiced.

first we have to find the sum of the minutes she practiced:

20+30+40+38+25+22+39+22+26+31

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What is the 5th term in the sequence 64, 16, 4 ?

Answers

Answer: 1

Step-by-step explanation:

Answer:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Question 16
A line has a slope that is undefined Which of the following points could this line pass through?
А
(6, 4) and (4,-5)
B
(8,5) and (8,-5)
С
(2,3) and (4,3)
D
(-7,1) and (7,6)

Answers

Answer:

b hope it help

Step-by-step explanation:

A, or C because, when you look closely is says undefined which is going back then up, B and D are OUT

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

55 lbs of $0.40 and 45 lbs of $1.40  

Step-by-step explanation:

Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.

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Solve!

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x = 55

From this we get that 100 - x = 45.

So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40


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Answers

Answer:

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Step-by-step explanation:

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Answers

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GIVING BRAINIEST

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

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1st equation:

x = 2y

2nd equation:

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Replacing value of x from 1st equation,

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Answers

Answer:

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Answers

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Answers

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Answers

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