Exams › IBPS PO › Quantitative Aptitude
Direction (97-102): Read the table carefully and answer the following questions. The data shows the volume and height of 4 right circular tanks P, Q, R and S. The data also depicts the time taken to fill or empty the tank by inlet pipes A and B and outlet pipe C. 1. The ratio between the time taken by pipe B and that by pipe C is different because the pipes were used by the operator in different ways for different tanks. 2. The radius of tank S is 10.5 m. Table: Tank | Volume | Height | Time taken by pipe A to fill tank (in hours) | Ratio of time taken by pipe B to fill and pipe C to empty the tank P | 38808 | 28 | 10 | 2:3 Q | ------- | 10 | 12 | 3:2 R | 5390 | 35 | 18 | 1:3 S | 19250 | ------- | ------- | 2:5 How much volume (approximately) of initially empty tank P was filled in 1 hour, when all 3 pipes were opened simultaneously? (Time taken by pipe C is 30 hours)
- 5235 m³
- 4528 m³
- 3876 m³
- 4865 m³
- 5743 m³
Correct answer: 4865 m³
Solution
For tank P, pipe A fills in 10 h, so its rate is $1/10$ tank per hour. Given pipe C empties in 30 h and the ratio B:C = 2:3, pipe B fills in 20 h, so its rate is $1/20$. Net filling rate when all three are open is $\frac{1}{10}+\frac{1}{20}-\frac{1}{30}=\frac{13}{60}$ tank per hour. Since tank P volume is 38808 m³, filled in 1 hour = $38808\times \frac{13}{60}\approx 4865$ m³.
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