CAT 2021 Slot 2 · Quant · Question 6
CAT 2021 Slot 2 previous year question on Time and Work, with the answer and a step-by-step solution.
Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they are paid a total of ₹21000 for the job, then the share of Charu, in ₹, proportionate to the work done by him, is
- A9000
- B9100
- C9200
- D9150
Pick an option, then check.
Answer & solution
Answer: Option B
Pay follows the fraction of work each person actually did, so find those fractions.
Anil works for all 10+14=24 days, doing \frac{24}{60}=\frac{2}{5} of the job.
Bimal works only the last 14 days, doing \frac{14}{84}=\frac{1}{6} of the job.
Charu does the rest: 1-\frac{2}{5}-\frac{1}{6}=\frac{30-12-5}{30}=\frac{13}{30}.
So Charu receives \frac{13}{30}\times 21000=9100, that is ₹9100.
More Time and Work questions
- Q17Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu…CAT 2021 Slot 1 · Quant · Time and Work
- Q19Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in 1 year,…CAT 2021 Slot 1 · Quant · Time and Work
- Q21Two pipes A and B are attached to an empty water tank. Pipe A fills the tank while pipe B drains it. If pipe A is…CAT 2021 Slot 2 · Quant · Time and Work
- Q18Arun, Varun and Tarun, if working alone, can complete a task in 24, 21, and 15 days, respectively. They charge ₹2160,…CAT 2025 Slot 1 · Quant · Time and Work
- Q12Ankita is twice as efficient as Bipin, while Bipin is twice as efficient as Chandan. All three of them start together…CAT 2025 Slot 2 · Quant · Time and Work
- Q2Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the…CAT 2021 Slot 3 · Quant · Time and Work
Take this paper as a timed test
Real exam timing, instant score, rank and topic-wise analysis.