Work and Time for A and B
CAT 2019 Slot 1 · Quantitative Ability · Easy · Work and Time
This is an easy Quantitative Ability question from the CAT 2019 Slot 1 paper. It tests Work and Time. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
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?
- A.
16
- B.
22
- C.
20
- D.
18
C
Explanation
Let efficiency of A = , efficiency of B = (since time ratio B:A = 5:4). Work done by A alone = 50%. Work done by B alone = 5%. So work done by A and B together in 4 days = . Work done in 4 days by A+B = . So . Time taken by B alone = days.
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