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Two machines M1 and M2 are able to execute any of four jobs P, Q, R and S. The machines can perform one job on one object at a time. Jobs P, Q, R and S take 30 minutes, 20 minutes, 60 minutes and 15 minutes each respectively. There are 10 objects each requiring exactly 1 job. Job P is to be performed on 2 objects. Job Q on 3 objects. Job R on 1 object and Job S on 4 objects. What is the minimum time needed to complete all the jobs?  
  • a)
    2 hours
  • b)
    2.5 hours
  • c)
    3 hours
  • d)
    3.5 hours 
Correct answer is option 'A'. Can you explain this answer?
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Two machines M1 and M2 are able to execute any of four jobs P, Q, R an...
Given information:
- Two machines M1 and M2
- Four jobs P, Q, R, and S
- Time taken for each job:
- P: 30 minutes
- Q: 20 minutes
- R: 60 minutes
- S: 15 minutes
- Number of objects for each job:
- P: 2 objects
- Q: 3 objects
- R: 1 object
- S: 4 objects

Approach:
To find the minimum time needed to complete all the jobs, we need to determine the maximum time it takes to complete all the jobs on either machine. This is because the minimum time required will be the maximum time taken by any one of the machines to complete all the jobs.

Calculations:
Let's consider machine M1 to perform all the jobs.

Time taken to complete job P on 2 objects = 2 * 30 minutes = 60 minutes
Time taken to complete job Q on 3 objects = 3 * 20 minutes = 60 minutes
Time taken to complete job R on 1 object = 1 * 60 minutes = 60 minutes
Time taken to complete job S on 4 objects = 4 * 15 minutes = 60 minutes

Therefore, the total time taken by machine M1 to complete all the jobs = 60 + 60 + 60 + 60 = 240 minutes

Since there are 10 objects in total, we can divide them equally between the two machines.

Number of objects assigned to each machine = 10 / 2 = 5 objects

Conclusion:
Since machine M1 takes 240 minutes to complete all the jobs assigned to it, the minimum time needed to complete all the jobs is 240 minutes, which is equivalent to 4 hours. Therefore, the correct answer is option A) 2 hours.
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Two machines M1 and M2 are able to execute any of four jobs P, Q, R and S. The machines can perform one job on one object at a time. Jobs P, Q, R and S take 30 minutes, 20 minutes, 60 minutes and 15 minutes each respectively. There are 10 objects each requiring exactly 1 job. Job P is to be performed on 2 objects. Job Q on 3 objects. Job R on 1 object and Job S on 4 objects. What is the minimum time needed to complete all the jobs? a)2 hoursb)2.5 hoursc)3 hoursd)3.5 hoursCorrect answer is option 'A'. Can you explain this answer?
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Two machines M1 and M2 are able to execute any of four jobs P, Q, R and S. The machines can perform one job on one object at a time. Jobs P, Q, R and S take 30 minutes, 20 minutes, 60 minutes and 15 minutes each respectively. There are 10 objects each requiring exactly 1 job. Job P is to be performed on 2 objects. Job Q on 3 objects. Job R on 1 object and Job S on 4 objects. What is the minimum time needed to complete all the jobs? a)2 hoursb)2.5 hoursc)3 hoursd)3.5 hoursCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two machines M1 and M2 are able to execute any of four jobs P, Q, R and S. The machines can perform one job on one object at a time. Jobs P, Q, R and S take 30 minutes, 20 minutes, 60 minutes and 15 minutes each respectively. There are 10 objects each requiring exactly 1 job. Job P is to be performed on 2 objects. Job Q on 3 objects. Job R on 1 object and Job S on 4 objects. What is the minimum time needed to complete all the jobs? a)2 hoursb)2.5 hoursc)3 hoursd)3.5 hoursCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two machines M1 and M2 are able to execute any of four jobs P, Q, R and S. The machines can perform one job on one object at a time. Jobs P, Q, R and S take 30 minutes, 20 minutes, 60 minutes and 15 minutes each respectively. There are 10 objects each requiring exactly 1 job. Job P is to be performed on 2 objects. Job Q on 3 objects. Job R on 1 object and Job S on 4 objects. What is the minimum time needed to complete all the jobs? a)2 hoursb)2.5 hoursc)3 hoursd)3.5 hoursCorrect answer is option 'A'. Can you explain this answer?.
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