Word Problem 1
Problem 1: Six women or nine girls can do a work in 10 days. Eight women and three girls will do the same work in how many days?
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We can infer from the statement that work is done by;
Form First information we can say;
So, eight women now can be converted into girls as under;
After cancellation process we get;
So, by eq (2), eight women are equal to 12 girls – so, 8 women and 3 girls can now be converted into only girls as below;
Now consider Girls only for the work;
For first case: 9Girls can do the work in 10 days
For 2nd case: 15 Girls can do the work in ‘x’ days (suppose);
This has now turned into problem of inverse proportion- if girls are more days will be less. We can now arrange this data as below;
So , 15 girls will finish work in 6 days– but 15 girls are equal to 8 women and 3 girls by eq (3). So, it means 8 women and 3 girls will finish work in 6 days !