Question
Download Solution PDF39 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 ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
39 persons can repair a tunnel in 12 days working 10 hours a day.
Required: Days for 30 persons working 6 hours a day to complete the work.
Formula used:
Work done = Number of persons × Number of days × Number of hours per day
Calculation:
Total work = 39 × 12 × 10 = 4680 person-hours
Let the required number of days be D.
Work done by 30 persons working 6 hours a day = 30 × D × 6
⇒ 4680 = 30 × D × 6
⇒ D = 4680 / (30 × 6)
⇒ D = 26 days
∴ The correct answer is 26 days.
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