CAT 2021 Slot 1 · Quant · Question 17
CAT 2021 Slot 1 previous year question on Time and Work, with the answer and a step-by-step solution.
Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is
- A8
- B5
- C7
- D6
Pick an option, then check.
Answer & solution
Answer: Option C
Take the total work as 60 units, so Anu does 4, Vinu 5 and Manu 3 units a day. Day 1 gives 4+5=9 units and day 2 gives 5+3=8 units, so a two-day cycle gives 17 units. After 6 days 3\times 17=51 units are done, and day 7 adds 9 units to reach 60. So 7 days are needed.
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