39 persons can repair a tunnel in 12 days working 10 hours a day. In how many days will 30 persons working 6 hours a day complete the work? - Quantitative Aptitude MCQ Competitive Exam 2026 | ExamTest.live

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39 persons can repair a tunnel in 12 days working 10 hours a day. In how many days will 30 persons working 6 hours a day complete the work?

Solution & Step-by-step Explanation

Using the chain rule formula: M_{1} \times D_{1} \times H_{1} = M_{2} \times D_{2} \times H_{2} Where: M_{1} = 39, D_{1} = 12, H_{1} = 10 M_{2} = 30, H_{2} = 6, D_{2} = ? Substituting the values: 39 \times 12 \times 10 = 30 \times D_{2} \times 6 4680 = 180 \times D_{2} D_{2} = \frac{4680}{180} = 26 days

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39 persons can repair a tunnel in 12 days working 10 hours a day. In how many days will 30 persons working 6 hours a day complete the work?

15 days

20 days

26 days

14 days

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