36 persons can do a work in 10 days, working 6 hours a day. In how many days will 24 persons, working 9 hours a day complete the work?

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 25 Jun, 2024 Shift 2)
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Answer (Detailed Solution Below)

Option 1 : 10
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Detailed Solution

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Given:

36 persons can do a work in 10 days, working 6 hours a day.

24 persons, working 9 hours a day.

Formula used:

Work = Number of persons × Number of days × Number of hours per day

Calculation:

Total work by 36 persons:

Work = 36 × 10 × 6

⇒ Work = 2160 hours

Now, let the number of days required by 24 persons be D:

Work = 24 × D × 9

⇒ 2160 = 24 × D × 9

⇒ D = 2160 / (24 × 9)

⇒ D = 10

∴ The correct answer is option 1.

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