Question
Download Solution PDF39 persons can repair a road in 12 days , working 5 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 road in 12 days, working 5 hours a day.
Formula Used:
Work = Number of persons × Number of days × Number of hours per day
Calculation:
Work done by 39 persons in 12 days, working 5 hours a day:
Work = 39 × 12 × 5
Work = 2340
Let the number of days required for 30 persons working 6 hours a day be D.
Work = 30 × D × 6
Since the total work is the same, we equate the two expressions for work:
⇒ 39 × 12 × 5 = 30 × D × 6
⇒ 2340 = 180D
⇒ D = 2340 / 180
⇒ D = 13
∴ The correct answer is option 2.
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