This question is from ** Time and Work** – which is yet another important topic with regards to the **CAT Syllabus**. Enhance your **online CAT preparation** by solving **CAT Previous Year Paper, ** and get a gist of the kind of questions in the **CAT exam**.

Question 8 : When they work alone, B needs 25% more time to ﬁnish a job than A does. They two ﬁnish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and ﬁnally B works alone to complete the remaining 5% of the job. In how many days can B alone ﬁnish the entire job?

- 16
- 22
- 20
- 18

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Its given that B needs 25% more time than A

So, if Time taken by A = 4x days, Time taken by B = 5x days

A does half the work, So A works alone for 2x days --- (1)

A and B work for 4 days --- (2)

B works alone for \\frac{5𝑥}{20}) = \\frac{𝑥}{4}) days --- (3)

Total working days = 13

(1) + (2) + (3) = 13

2x + 4 + \\frac{𝑥}{4}) = 13 we get, x = 4

So, B alone can do the work in 5 × 4 = 20 days

The question is **"When they work alone, B needs 25% more time to ﬁnish a job than A does. They two ﬁnish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and ﬁnally B works alone to complete the remaining 5% of the job. In how many days can B alone ﬁnish the entire job? B alone can finish the entire jon in 20 days" **

Choice C is the correct answer.

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