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Quantity 1: After working for 8 days .Anil finds that only 1/3 of the work has been done.He employs Rakesh who is 60% efficient as Anil.How many more days will Anil take to complete the job
Quantity 2: 8 men and 4 women together can complete a piece of work in 6 days. Work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days, 4 men left and 4 new women joined, in how many more days will the work be completed ?
Quantity 1 ≥ Quantity 2
Quantity 1 = Quantity 2 (or) No relation
Quantity 1 > Quantity 2
Quantity 1 ≤ Quantity 2
Quantity 1 < Quantity 2
Quantity 1:
In 8 days Anil does=1/3 rd work
In 1 day=1/24 thwork
Rakesh’s one day work=60% of 1/24=1/40 thwork
Remaining work=1-1/3=2/3
Anil & Rakesh’s one day’s work
=1/24+1/40=1/15 th
2/3 rd work=15×2/3=10 days
Quantity 2:
Work completed by 8M + 4W in 2 days = 2 ×1/6=1/3
Work done by 1 man = work done by 2 women
8 men + 4 women = (16 women + 4 women) = 20 women
8 men + 4 women = (8 men + 2 men) = 10 men
Work done by 20 women in 1 day = 1/20× 6 =1/120
Work done by 10 men in 1 day =1/10× 6 =1/60
As 4 men left and 4 new women joined, so 4M + 8W = 4 ×1/60+ 8 ×1/120=1/15+1/15=2/15
Work to be done = 1 -1/3=2/3
No of days required =(2/3)/(2/15)= 5 days.
Hence, option 3 is the correct answer.
By: Amit Kumar ProfileResourcesReport error
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