Question
Determine the time taken by a pipe R to empty a water
tank. Statement I: Pipe P and pipe Q can fill a water tank in 6 hours and 8 hours, respectively. If all pipes P, Q, and R are opened together, the time taken by all three pipes to fill the water tank is 120/23 hours. Statement II: Pipe P can fill the water tank in 6 hours, and the ratio of the efficiencies of pipes Q and R is 2:1. The question consists of two statements numbered "l and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Solution
ATQ, Statement I: Let, the total capacity of tank be 120 units. Efficiency of P = 120/6 = 20 units/hr Efficiency of Q = 120/8 = 15 units/hr Let, the efficiency of R be 'a' units/hr. So, 120/23 = 120/(20 + 15 – a) Or, 120/23 = 120/(35 – a) Or, a = 12 Time taken by pipe R to empty the water tank = 120/12 = 10 hours So, data in statement I alone is sufficient to answer the question. Statement I: We cannot determine the relation between pipes P, Q and R. So, data in statement II alone is not sufficient to answer the question.
To whom among the following the American Institute of Aeronautics and Astronautics conferred the Missile Systems Award 2019?
The following major rivers of Uttarakhand state will be in decreasing order according to their length:
1. Kosi
2. Bhagirathi
3. Kali
4. Alaknanda
According to Census of India 2011, in rural India, which state has the maximum female workforce participation rate?
The major component of granite is:
As per the Constitution of India, the subject of 'livestock and animal husbandry' is included in the:
The activity of making a human pyramid and putting efforts to break an earthen pot filled with buttermilk is associated with which festival?
Which fintech sector company became India’s first unicorn of 2025 by achieving a $1 billion valuation?
The Bhakra Dam in India is built on:
When did SpaceX’s Falcon 9 rocket launch the SkySats 19, 20 and 21?
________ investment includes the generation of social and environmental effects in addition to the profit earned?