Question
Download Solution PDF12 men can do a work in 25 days working 6 h per day. In how many days will 36 women do the same task working 5 h per day, if it is given that men are twice as efficient as women?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
12 men can do a work in 25 days working 6 hours per day.
36 women need to do the same work working 5 hours per day.
Men are twice as efficient as women.
Formula Used:
Work = Number of people × Efficiency × Number of days × Number of hours
Calculation:
Let the efficiency of a woman be 1 unit of work per hour.
Then, the efficiency of a man is 2 units of work per hour.
Total work done by men:
Work = 12 men × 2 units/man/hr × 25 days × 6 hours/day
Work = 12 × 2 × 25 × 6
Work = 3600 units
Let the number of days required by 36 women be D days.
Total work done by women:
Work = 36 women × 1 unit/woman/hr × D days × 5 hours/day
Work = 36 × 1 × D × 5
Work = 180D units
Since the work done by men and women is the same:
3600 units = 180D units
⇒ 3600 = 180D
⇒ D = 3600 / 180
⇒ D = 20
The correct answer is option 1 (20 days).
Last updated on Dec 9, 2024
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