CAT 2025 Slot 2 · Quant · Question 12
CAT 2025 Slot 2 previous year question on Time and Work, with the answer and a step-by-step solution.
Answer & solution
Answer: 340
Let Chandan do 1 unit of work per day.
Bipin is twice as efficient, so 2 units a day, and Ankita is twice Bipin, so 4 units a day.
Ankita works the whole 60 days: 4\times 60=240 units.
Chandan also works all 60 days: 1\times 60=60 units.
Bipin leaves after 20 days: 2\times 20=40 units.
The job is therefore 240+60+40=340 units.
At 1 unit per day, Chandan alone needs 340 days.
Shortcut. Because Chandan's rate is set to 1, the total number of units is the answer in days — no final division is needed. Choosing the slowest worker as the unit is what makes this work.
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