Question
A, B and C are three pipes connected to a tank. A and B
together fill the tank in 30 hours, B and C together fill the tank in 40 hours. A and C together fill the tank in 60 hours. In how much time will A, B and C fill the tank separatelySolution
A+B fill in 30 hrs B+C fill in 40 hrs A + C fill in 60 hrs 2(A+B+C) fill in (30×40×60 )/(30×40+ 40×60+60×30) = 40/3 hours Therefore A + B + C fill the tank in 80/3 hours Now, A = (A+B+C) – (B+C) fills in 3/80 - 1/40 = 1/80 = 80 hours Similarly B fills in 3/80 - 1/60 = 1/24 = 48 hours And C fills in 3/80 - 1/30 = 1/240 = 240 hours . Alternate Method: A+B B+C C+A 30 40 60 LCM = 120 4 : 3 : 2 So adding all, 2A+2B+2C = 9 units A+B+C = 4.5 units C = 4.5 - 4 = 0.5 units, B = 4.5 -2 = 2.5 units , A = 4.5-3 = 1.5 units A can fill the tank in = 120/1.5 = 80 hrs B can fill the tank in = 120/2.5 = 48 hrs
 In Jan 2024, who was appointed as the Chairman and Managing Director (CMD) of Power Grid Corporation?
Which of the following statements is true regarding the Centre for Processing Accelerated Corporate Exit (C-PACE)?
Jila Sahakari Kendriya Bank Maryadit, Raipur, was penalized ₹1.50 lakh by the RBI for which of the following reasons?
Which of the following tools is used in Gram Panchayat governance to summarize meetings in 14 Indian languages?Â
What is the extended validity date of the Payments Infrastructure Development Fund (PIDF) scheme by the Reserve Bank of India?
Which of the following rivers has the largest river basin in India?
PNB has  raised ________ at a coupon of 8.59 per cent while Canara Bank raised _______ at a coupon of 7.54 per cent.Â
What is the name of the operation launched by the Israel Defense Forces (IDF) in response to a surprise attack by Hamas?
A book “ The Dharma of Justice in the Sanskrit Epics : Debates on Gender, Varna, and Species ” has been authored by?
Narendra Modi at the 18th G20 Leaders' Summit in New Delhi launched Global Biofuels Alliance (GBA), what is the specific goal for setting a global initi...
Relevant for Exams:
