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36 persons working 8 hours a day can do 3 units of work in 12 days. How many persons are required to do 5 units of that work in 16
days, if they work for 6 hours a day?
60
55
45
50
- Let's solve the problem step-by-step:
- Initial Scenario: 36 persons x 8 hours/day x 12 days = Total hours required for 3 units of work.
- Calculate total hours: 36 x 8 x 12 = 3456 hours for 3 units.
- Therefore, 1 unit = 3456 / 3 = 1152 hours.
- New Scenario:
- Needed for 5 units: 1152 x 5 = 5760 total hours.
- Task is to find the number of persons required for 5760 hours, in 16 days, working 6 hours a day.
- Calculate required persons x 6 x 16 = 5760 hours.
- Solve for persons: Persons = 5760 / (16 x 6) = 60 persons.
- Conclusion:
- 60 persons are required.
- Therefore, the correct option is Option:1.
- Option 1: 60
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