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A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of articles in 48 days?
- a)40
- b)46
- c)48
- d)49
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A factory requires 42 machines to produce a given number of articles i...
42 machines -> 63 days
? => 54 days
Most Upvoted Answer
A factory requires 42 machines to produce a given number of articles i...
This question is in inverse propotion = machine days 42 56 x 48 42×56\48 =x 49=x
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A factory requires 42 machines to produce a given number of articles i...
Understanding the Problem
To determine how many machines are required to produce the same number of articles in a shorter time, we can use the relationship between machines, time, and work done.
Given Data:
- 42 machines produce articles in 56 days.
- We need to find how many machines (let's call it X) are needed to produce the same number of articles in 48 days.
Work Calculation:
- The total work done can be expressed in terms of machines and days. If 42 machines can do the work in 56 days, the total work (W) can be calculated as:
W = Number of machines × Number of days
- Therefore, we have:
W = 42 machines × 56 days = 2352 machine-days
Finding Machines for New Time Frame:
- Now, we want to find how many machines (X) are needed to complete the same work in 48 days. The equation for the new scenario will be:
W = X machines × 48 days
- Setting both equations equal to each other gives:
2352 machine-days = X machines × 48 days
Calculating X:
- To find X, rearrange the equation:
X = 2352 machine-days / 48 days
- Performing the division:
X = 49 machines
Conclusion:
Thus, to produce the same number of articles in 48 days, 49 machines are required. Therefore, the correct answer is option 'D'.
To determine how many machines are required to produce the same number of articles in a shorter time, we can use the relationship between machines, time, and work done.
Given Data:
- 42 machines produce articles in 56 days.
- We need to find how many machines (let's call it X) are needed to produce the same number of articles in 48 days.
Work Calculation:
- The total work done can be expressed in terms of machines and days. If 42 machines can do the work in 56 days, the total work (W) can be calculated as:
W = Number of machines × Number of days
- Therefore, we have:
W = 42 machines × 56 days = 2352 machine-days
Finding Machines for New Time Frame:
- Now, we want to find how many machines (X) are needed to complete the same work in 48 days. The equation for the new scenario will be:
W = X machines × 48 days
- Setting both equations equal to each other gives:
2352 machine-days = X machines × 48 days
Calculating X:
- To find X, rearrange the equation:
X = 2352 machine-days / 48 days
- Performing the division:
X = 49 machines
Conclusion:
Thus, to produce the same number of articles in 48 days, 49 machines are required. Therefore, the correct answer is option 'D'.
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Question Description
A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of articles in 48 days?a)40b)46c)48d)49Correct answer is option 'D'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of articles in 48 days?a)40b)46c)48d)49Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of articles in 48 days?a)40b)46c)48d)49Correct answer is option 'D'. Can you explain this answer?.
A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of articles in 48 days?a)40b)46c)48d)49Correct answer is option 'D'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of articles in 48 days?a)40b)46c)48d)49Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of articles in 48 days?a)40b)46c)48d)49Correct answer is option 'D'. Can you explain this answer?.
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