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## Practice Test Discussion

Q)

A is thrice as good a workman as B and therefore is able to finish a job in 30 days less than B. How many days will they take to finishthe job working together?

[Railways 2007]

• Explanation

Let A take a and B take 3a days to finish the work.

As per the question,

3a-a=30

Time taken by B to complete the work is 3a

So 3×15=45 days

Therefore 1 day work of (A+B)= $\frac{1}{15}+\frac{1}{45}=\frac{3+1}{45}=\frac{4}{45}$

Hence, (A+B) will finish the work in

Hence option C is correct

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