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Question

Two men or 4 women or 8children can do a job in 10 days . In how many days 1man ,1women and 2 children can do the same job?


Solution

No. of men required is directly proportional to no. of women required and no. of children required in the ratio 1:2:4


men : children = 1 : 4 therefore 4 children can complete 1 man's job in same amt of time

similarly women : children = 1 : 2 so 2 children can complete 1 woman's job in same amt of time

therefore 1 man and 1 woman can be replaced with 6 children

so 1 man, 1 women, 2 children is the same as 8 children

8 children require 10 days to do the work

therefore 1 man, 1 woman, 2 children need 10 days to do the work

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