Bodhee Prep-CAT Online Preparation

CAT 2018 [SLOT 2] Quant Question with Solution 10

Question:
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
Show Answer
Correct Answer: 3
Let x be the time, on a 24 hours clock, at which the tank is empty.
Time taken by pipe A alone to fill the tank is (20 – x) hrs.
Time taken by pipe B alone to fill the tank is (18 – x) hrs.
On the other day, A fill the tank for (15 – x) hrs and B for 2 hrs.
Let A and B be the rate of works of pipe A and B respectively.
$\Rightarrow(20-x) A=(18-x) B=(17-x) A+2 B$
$\Rightarrow \frac{A}{B}=\frac{2}{3}$
$\Rightarrow(20-x) 2=(18-x) 3$
$\Rightarrow(20-x) A=1$
Let $(20-x) A=1$
$A=\frac{1}{6}$
$B=\frac{1}{4}$
When both work simultaneously, time taken
$=\frac{1}{\frac{1}{6}+\frac{1}{4}}=2.4 \mathrm{hrs}=2 \mathrm{hrs} 24 \mathrm{min}$
The tank will be filled by $16 : 24 \mathrm{i.e.} .4 : 24 \mathrm{pm}$

CAT Online Course
Also Check: 841+ CAT Quant Questions with Solutions

CAT 2018 Slot-1


CAT 2018 Slot-2


CAT Quant Questions with Video Solutions

30 must do CAT Quant Questions with Video Solutions

CAT 2023
Classroom Course

We are starting classroom course for CAT 2023 in Gurugram from the month of December.
Please fill the form to book your seat for FREE Demo Classes

CAT 2023 Classroom Course starts in Gurgaon