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At a metal rolling factory, if a iron bar of square cross-section with an area of 4 square foot is moving continuously through a belt conveyor at a constant speed of 360 feet per hour, how many seconds does it take for a volume of 8.4 cubic foot of the iron bar to move through the conveyor?
- a)21
- b)22
- c)24
- d)27
- e)30
Correct answer is option 'A'. Can you explain this answer?
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At a metal rolling factory, if a iron bar of square cross-section with...
To find the time it takes for a volume of 8.4 cubic foot of the iron bar to move through the conveyor, we can use the formula:
Time = Distance / Speed
We know the speed of the conveyor is 360 feet per hour, so we need to find the distance that the iron bar travels in order to calculate the time.
Finding the Distance:
Given that the iron bar has a square cross-section with an area of 4 square foot, we can find the side length of the square by taking the square root of the area:
Side length = sqrt(4) = 2 feet
Since the iron bar is moving continuously through the conveyor, the distance it travels is equal to its length. Therefore, we need to find the length of the iron bar.
To find the length, we can divide the volume of the iron bar by the cross-sectional area:
Length = Volume / Area = 8.4 cubic foot / 4 square foot = 2.1 feet
Now, we have the distance (length) and the speed, so we can calculate the time it takes for the iron bar to move through the conveyor:
Time = Distance / Speed = 2.1 feet / 360 feet per hour
Converting feet per hour to feet per second:
Since we want the answer in seconds, we need to convert the speed from feet per hour to feet per second. There are 60 minutes in an hour and 60 seconds in a minute, so there are 60 * 60 = 3600 seconds in an hour.
Speed in feet per second = Speed in feet per hour / 3600 = 360 feet per hour / 3600 = 0.1 feet per second
Now, we can calculate the time:
Time = Distance / Speed = 2.1 feet / 0.1 feet per second = 21 seconds
Therefore, it takes 21 seconds for a volume of 8.4 cubic foot of the iron bar to move through the conveyor.
Time = Distance / Speed
We know the speed of the conveyor is 360 feet per hour, so we need to find the distance that the iron bar travels in order to calculate the time.
Finding the Distance:
Given that the iron bar has a square cross-section with an area of 4 square foot, we can find the side length of the square by taking the square root of the area:
Side length = sqrt(4) = 2 feet
Since the iron bar is moving continuously through the conveyor, the distance it travels is equal to its length. Therefore, we need to find the length of the iron bar.
To find the length, we can divide the volume of the iron bar by the cross-sectional area:
Length = Volume / Area = 8.4 cubic foot / 4 square foot = 2.1 feet
Now, we have the distance (length) and the speed, so we can calculate the time it takes for the iron bar to move through the conveyor:
Time = Distance / Speed = 2.1 feet / 360 feet per hour
Converting feet per hour to feet per second:
Since we want the answer in seconds, we need to convert the speed from feet per hour to feet per second. There are 60 minutes in an hour and 60 seconds in a minute, so there are 60 * 60 = 3600 seconds in an hour.
Speed in feet per second = Speed in feet per hour / 3600 = 360 feet per hour / 3600 = 0.1 feet per second
Now, we can calculate the time:
Time = Distance / Speed = 2.1 feet / 0.1 feet per second = 21 seconds
Therefore, it takes 21 seconds for a volume of 8.4 cubic foot of the iron bar to move through the conveyor.
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Community Answer
At a metal rolling factory, if a iron bar of square cross-section with...
Given: Area of the square cross-section = 4 square feet Volume of the iron bar = 8.4 cubic feet Speed of the conveyor = 360 feet per hour
To find the time, we can use the formula: Time = Distance / Speed
First, let's find the length of the iron bar. Since the cross-section is a square with an area of 4 square feet, the side length of the square can be found by taking the square root of the area. Side length of the square cross-section = √4 = 2 feet
Since the volume of the iron bar is given by: Volume = Area * Length 8.4 cubic feet = 4 square feet * Length Length = 8.4 cubic feet / 4 square feet = 2.1 feet
Now, let's calculate the distance the iron bar needs to travel: Distance = Length = 2.1 feet
Finally, we can calculate the time it takes for the iron bar to move through the conveyor: Time = Distance / Speed = 2.1 feet / 360 feet per hour
Converting the time from hours to seconds: Time = (2.1 feet / 360 feet per hour) * (1 hour / 3600 seconds) Time = 0.00583333 hours * 3600 seconds/hour Time ≈ 21 seconds
Therefore, it takes approximately 21 seconds for a volume of 8.4 cubic feet of the iron bar to move through the conveyor.
The correct answer is (A) 21.
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At a metal rolling factory, if a iron bar of square cross-section with an area of 4 square foot is moving continuously through a belt conveyor at a constant speed of 360 feet per hour, how many seconds does it take for a volume of 8.4 cubic foot of the iron bar to move through the conveyor?a)21b)22c)24d)27e)30Correct answer is option 'A'. Can you explain this answer?
Question Description
At a metal rolling factory, if a iron bar of square cross-section with an area of 4 square foot is moving continuously through a belt conveyor at a constant speed of 360 feet per hour, how many seconds does it take for a volume of 8.4 cubic foot of the iron bar to move through the conveyor?a)21b)22c)24d)27e)30Correct answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about At a metal rolling factory, if a iron bar of square cross-section with an area of 4 square foot is moving continuously through a belt conveyor at a constant speed of 360 feet per hour, how many seconds does it take for a volume of 8.4 cubic foot of the iron bar to move through the conveyor?a)21b)22c)24d)27e)30Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a metal rolling factory, if a iron bar of square cross-section with an area of 4 square foot is moving continuously through a belt conveyor at a constant speed of 360 feet per hour, how many seconds does it take for a volume of 8.4 cubic foot of the iron bar to move through the conveyor?a)21b)22c)24d)27e)30Correct answer is option 'A'. Can you explain this answer?.
At a metal rolling factory, if a iron bar of square cross-section with an area of 4 square foot is moving continuously through a belt conveyor at a constant speed of 360 feet per hour, how many seconds does it take for a volume of 8.4 cubic foot of the iron bar to move through the conveyor?a)21b)22c)24d)27e)30Correct answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about At a metal rolling factory, if a iron bar of square cross-section with an area of 4 square foot is moving continuously through a belt conveyor at a constant speed of 360 feet per hour, how many seconds does it take for a volume of 8.4 cubic foot of the iron bar to move through the conveyor?a)21b)22c)24d)27e)30Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a metal rolling factory, if a iron bar of square cross-section with an area of 4 square foot is moving continuously through a belt conveyor at a constant speed of 360 feet per hour, how many seconds does it take for a volume of 8.4 cubic foot of the iron bar to move through the conveyor?a)21b)22c)24d)27e)30Correct answer is option 'A'. Can you explain this answer?.
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