20 mans can do a work in 10 days workjing 8 hr a day if women are 33.33% more efficient than men ,how many women will it take to finish the same job in 10 days ,working 6 hrs a day
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☆ranshsangwan
Total men hours of work = 20 x 10 x 8 = 1600
So 1 man, 1 hr work = 1/1600
As woman is 33.33% more efficient, so 1 woman, 1 hr work=(133.33/100) x (1/1600)=1.3333/1600
So 10 days work of 1 woman working 6 hrs =10 x 6 x (1.3333/1600) = 1/20
Hence 20 women are required.
Total men hours of work = 20 x 10 x 8 = 1600
So 1 man, 1 hr work = 1/1600
As woman is 33.33% more efficient, so 1 woman, 1 hr work=(133.33/100) x (1/1600)=1.3333/1600
So 10 days work of 1 woman working 6 hrs =10 x 6 x (1.3333/1600) = 1/20
Hence 20 women are required.
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x = 20.
Given: Woman is 33.33% more efficient than man
To find : The number of women required to finish the same work.
Sol: Let the capacity of each man = 3 units/hour.
Let the capacity of woman = 4 units/hour.
Total work done by man = 20 × 8 × 10 × 3 = 4800 units.------1
Let x be the woman required to complete the job. Total work done by
x woman = x × 4 × 6 × 10 = 240x--------2
Now equating equation 1 and 2,
we get,
240x = 4800
⇒ x = 20.
20 women are required to finish the same work.
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