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A tank is emptied every day | Quantitative Aptitude – Arithmetic – Pipes and Cisterns

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Arithmetic – Pipes and Cisterns – A tank is emptied every day… Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2018 – Slot -2 - Question 5 - A tank is emptied every day

Q. 5: A tank is emptied everyday at a fixed time point. Immediately thereafter, either pump A or pump B or both start working until the tank is full. On Monday, A alone completed ?lling the tank at 8 pm. On Tuesday, B alone completed filling the tank at 6 pm. On Wednesday, A alone worked till 5 pm, and then B worked alone from 5 pm to 7 pm, to fill the tank. At what time was the tank ?lled on Thursday if both pumps were used simultaneously all along?

1. 4:36 pm
2. 4:12 pm
3. 4:24 pm
4. 4:48 pm

Let pump A alone can fill the tank in t hours so time taken by pump B alone = t-2 hours

As per question , (t-3)/t+2/(t-2)=1

t^2-3t+6=t^2-2t

Or t=6

So the time at which pumps tank is emptied = 8 pm – 6 hours = 2 pm

Time taken by both pumps together to fill the tank =(6×4)/(6+4)=2.4 hours=2 hour 24 minutes

Thus tank will be filled by 2 pm + 2 hour 24 minutes = 4:24 pm

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