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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