Question 68

A is thrice as good a workman as B. C alone takes 48 days to paint a house. All three A, B and C working together take 16 days to paint the house. It will take how many days for B alone to paint the house?

Solution

Let say , B alone can paint in b days .

So, C alone can do in $$\left(\frac{b}{3}\right)$$ days.

So, According to question,

$$\frac{1}{b}+\frac{3}{b}+\frac{1}{48}=\frac{1}{16}\ .$$

or, $$\frac{4}{b}=\frac{1}{16}-\frac{1}{48}\ .$$

or, $$\frac{4}{b}=\frac{3-1}{48}=\frac{2}{48}\ .$$

or, $$b=96\ .$$

C is correct choice.

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