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A takes 10 days less than the time taken by B to finish a piece of work if both A and B together can finish the work in 12 days the time taken by B to finish the work is:

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20 days

30 days

40 days

50 days

answer is B.

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Detailed Solution

Concept- In this question we were given the relation between A and B to complete a certain work.
By using this information we formulate the equation.
Let take B will complete its work in

days.
As per the question A will take 10 days less than B.
Then, A will complete its work in

days.
So, one day work of A is

One day work of B is

As we know that one day work of A and B

As we know they both work together 12days. So we can’t take x as 4 so we will take x as 30.
Hence, the correct answer is option 2.

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