Word Problem 6
Problem 6: If 3 men or 6 boys can do a work in 20 days, then 6 men and 8 boys shall take;
a. 6 days b. 8 days c. 10 days d. 7 days
— work and men –
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3 men or 6 boys = 20 days
6 men and 8 boys = How many days ?
Data can be arranged as under:
Here note the words – ‘or’ & ‘and’ .
3 men or 6 boys means ;
or in short;
i-e one man is equal to 2 boys !
While 6 men and 8 boys means;
6 man+ 8boys or in short , 6m+8b
But one man is equale to 2 boys i-e 1m = 2b, so putting value in above;
6m+8b = 6 (2b)+8b = 12b+8b=20b
i-e 6 men and 8 boys are equal to 20 boys
Now we rearrange data considering only boys and days;
This can be written as;
So, the answer to the question is 6 days i-e 6 men and 8 bys will take 6 days to finish the work