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 β a) Or, 120/23 = 120/(35 β 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.
- Raja and Radha Reddy are renowned for which Indian classical dance form?
Which city was recently declared as the tourism capital of the Country by the government of Nepal ?
National Commission for Women has signed an agreement with which security force in March 2024 to combat human trafficking in India?
Recently REC Ltd and Power Finance Corporation have signed a MoU to provide financial assistance to set up a thermal power station by SJVN Thermal Priv...
Who has been appointed as the Revenue Secretary in the Ministry of Finance?
- Which article of the Indian Constitution addresses qualifications for membership of the State Legislature?
Who used a home-made microscope to discover the invisible world of microbes, for which he is called the founding father of microbiology?
- Which term is NOT classified as an infraction in the sport of squash?
Subansiri Lower Hydro Electric Project (SLHEP) is located on the border of which two states?
- In the history of the Roman Catholic Church, what position did Pope Francis hold?