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Fabric X has to go through three stages of manufacturing, viz., spinning, weaving and dyeing. In Rimal Fabric Company, there arc six spinning machines, ten weaving machines and five dyeing machines. Each machine works for 10 hrs a day. One unit of Fabric X needs 40 minutes on a spinning machine, 2 hours on a weaving machine and 30 minutes on a dyeing machine in order to be completed. Similarly one unit of Fabric Y needs 60 minutes on a spinning machine, 30 minutes on a weaving machine and 60 minutes on a dyeing machine in order to be completed.
Q.
If only 30 units of Fabric Y arc made m a day. how many machine hours will be idle that day?
  • a)
    120
  • b)
    130
  • c)
    135
  • d)
    150
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Fabric X has to go through three stages of manufacturing, viz., spinni...
30 units of Y will consume (30+15+30) = 75 hours totally. 135 hours will remain idle.
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Most Upvoted Answer
Fabric X has to go through three stages of manufacturing, viz., spinni...
Given data:
- 6 spinning machines, 10 weaving machines, and 5 dyeing machines are available.
- Each machine works for 10 hours a day.
- 1 unit of Fabric X needs 40 minutes on a spinning machine, 2 hours on a weaving machine, and 30 minutes on a dyeing machine.
- 1 unit of Fabric Y needs 60 minutes on a spinning machine, 30 minutes on a weaving machine, and 60 minutes on a dyeing machine.
- Only 30 units of Fabric Y are made in a day.

To find: How many machine hours will be idle that day?

Solution:
Let's first calculate the time required to make 30 units of Fabric Y:
- On a spinning machine, 1 unit takes 60 minutes = 1 hour. So, 30 units will take 30 hours on spinning machines.
- On a weaving machine, 1 unit takes 30 minutes = 0.5 hour. So, 30 units will take 15 hours on weaving machines.
- On a dyeing machine, 1 unit takes 60 minutes = 1 hour. So, 30 units will take 30 hours on dyeing machines.
Therefore, the total time required to make 30 units of Fabric Y = 30 + 15 + 30 = 75 hours.

Now, let's calculate the total machine hours available in a day:
- 6 spinning machines work for 10 hours each, so the total spinning machine hours = 6 machines * 10 hours/machine = 60 machine hours.
- 10 weaving machines work for 10 hours each, so the total weaving machine hours = 10 machines * 10 hours/machine = 100 machine hours.
- 5 dyeing machines work for 10 hours each, so the total dyeing machine hours = 5 machines * 10 hours/machine = 50 machine hours.
Therefore, the total machine hours available = 60 + 100 + 50 = 210 machine hours.

Finally, to find the idle machine hours, we subtract the time required to make 30 units of Fabric Y from the total machine hours available:
Idle machine hours = Total machine hours available - Time required to make 30 units of Fabric Y
Idle machine hours = 210 - 75 = 135 machine hours.

Hence, option (c) 135 is the correct answer.
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Fabric X has to go through three stages of manufacturing, viz., spinning, weaving and dyeing. In Rimal Fabric Company, there arc six spinning machines, ten weaving machines and five dyeing machines. Each machine works for 10 hrs a day. One unit of Fabric X needs 40 minutes on a spinning machine, 2 hours on a weaving machine and 30 minutes on a dyeing machine in order to be completed. Similarly one unit of Fabric Y needs 60 minutes on a spinning machine, 30 minutes on a weaving machine and 60 minutes on a dyeing machine in order to be completed.Q.If only 30 units of Fabric Y arc made m a day. how many machine hours will be idle that day?a)120b)130c)135d)150Correct answer is option 'C'. Can you explain this answer?
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Fabric X has to go through three stages of manufacturing, viz., spinning, weaving and dyeing. In Rimal Fabric Company, there arc six spinning machines, ten weaving machines and five dyeing machines. Each machine works for 10 hrs a day. One unit of Fabric X needs 40 minutes on a spinning machine, 2 hours on a weaving machine and 30 minutes on a dyeing machine in order to be completed. Similarly one unit of Fabric Y needs 60 minutes on a spinning machine, 30 minutes on a weaving machine and 60 minutes on a dyeing machine in order to be completed.Q.If only 30 units of Fabric Y arc made m a day. how many machine hours will be idle that day?a)120b)130c)135d)150Correct answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Fabric X has to go through three stages of manufacturing, viz., spinning, weaving and dyeing. In Rimal Fabric Company, there arc six spinning machines, ten weaving machines and five dyeing machines. Each machine works for 10 hrs a day. One unit of Fabric X needs 40 minutes on a spinning machine, 2 hours on a weaving machine and 30 minutes on a dyeing machine in order to be completed. Similarly one unit of Fabric Y needs 60 minutes on a spinning machine, 30 minutes on a weaving machine and 60 minutes on a dyeing machine in order to be completed.Q.If only 30 units of Fabric Y arc made m a day. how many machine hours will be idle that day?a)120b)130c)135d)150Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Fabric X has to go through three stages of manufacturing, viz., spinning, weaving and dyeing. In Rimal Fabric Company, there arc six spinning machines, ten weaving machines and five dyeing machines. Each machine works for 10 hrs a day. One unit of Fabric X needs 40 minutes on a spinning machine, 2 hours on a weaving machine and 30 minutes on a dyeing machine in order to be completed. Similarly one unit of Fabric Y needs 60 minutes on a spinning machine, 30 minutes on a weaving machine and 60 minutes on a dyeing machine in order to be completed.Q.If only 30 units of Fabric Y arc made m a day. how many machine hours will be idle that day?a)120b)130c)135d)150Correct answer is option 'C'. Can you explain this answer?.
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