Efficiency of 2 men, 2 women and 1 boy is 7 : 5 : 3. 2 men, 2 women and 1 boy altogether can complete the work in 4 days then find in how many days 1 man and 1 woman altogether complete the whole work?
Efficiency of 2 men, 2 women and 1 boy is 7 : 5 : 3. 2 men, 2 women and 1 boy altogether can complete the work in 4 days then find in how many days 1 man and 1 woman altogether complete the whole work? Correct Answer 10
Given,
Efficiency of 2 men, 2 women and 1 boy is 7 : 5 : 3.
2 men, 2 women and 1 boy together can complete the work in = 4 days
Formula:
Total work = Efficiency × Time Taken
Calculation:
Efficiency of 2 men, 2 women and 1 boy is 7 : 5 : 3.
Total work = (7 + 5 + 3) × 4 = 15 × 4 = 60 units
Efficiency of 2 men = 7 units/day
Efficiency of 1 man = 7/2 = 3.5 units/day
Efficiency of 2 women = 5 units/day
Efficiency of 1 woman = 5/2 = 2.5 units/day
1 man and 1 woman can complete the work in = 60/(3.5 + 2.5) = 60/6 = 10 days
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Feb 20, 2025