GATE CE 2017 Set 1 — Question 64
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General Aptitude → Quantitative Aptitude → Time & Work
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Question
Two machines and are able to execute any of four jobs , , and . The machines can perform one job on one object at a time. Jobs , , and take 30 minutes, 20 minutes, 60 minutes and 15 minutes each respectively. There are 10 objects each requiring exactly 1 job. Job is to be performed on 2 objects, Job on 3 objects, Job on 1 object and Job on 4 objects. What is the minimum time needed to complete all the jobs?
Correct answer
(A) 2 hours
Solution
To find the minimum time, we first calculate the total workload for each job type:
- Job :
- Job :
- Job :
- Job :
- Machine : Job (60 min) + Job (2 objects 30 min = 60 min) = 120 minutes.
- Machine : Job (3 objects 20 min = 60 min) + Job (4 objects 15 min = 60 min) = 120 minutes.
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