Question
Download Solution PDFA work can be finished by 8 men in 10 days working 6 hours a day or same can be finished by 20 qualified workers in 6 days working 8 hours a day. 2 men and 4 qualified workers work simultaneously 10 hours a day, the work will be finished in ________ days.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A work can be finished by 8 men in 10 days working 6 hours a day or same can be finished by 20 qualified workers in 6 days working 8 hours a day.
2 men and 4 qualified workers work simultaneously 10 hours a day.
Formula used:
Work done = Number of workers × Number of days × Number of hours per day
Calculation:
Work done by 8 men in 10 days working 6 hours/day:
⇒ 8 × 10 × 6 = 480 man-hours
Work done by 20 qualified workers in 6 days working 8 hours/day:
⇒ 20 × 6 × 8 = 960 qualified worker-hours
Assume 1 man-hour = x qualified worker-hours. Then:
⇒ 480 man-hours = 960 qualified worker-hours
⇒ 1 man-hour = 2 qualified worker-hours
2 men working 10 hours/day:
⇒ 2 × 10 = 20 man-hours
⇒ 20 man-hours = 20 × 2 = 40 qualified worker-hours
4 qualified workers working 10 hours/day:
⇒ 4 × 10 = 40 qualified worker-hours
Total work done per day by 2 men and 4 qualified workers:
⇒ 40 + 40 = 80 qualified worker-hours
Total work required in qualified worker-hours:
⇒ 960 qualified worker-hours
Number of days required to finish the work:
⇒ 960 / 80 = 12 days
∴ The correct answer is option (3).
Last updated on Jul 1, 2025
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