# 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. 6 days c. 6 days d. 6 days **

**— work and men –**

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**Solution:**

**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**