Two pipes P and Q can fill tank A in 36 minutes and 72 minutes respectively and empty pipe M can empty the tank in 54 minutes. Tank A has the capacity of 216 liters. If all three pipes opened in tank B for (x – 48) minutes together they filled 60 liter of the tank which is 25% of the quantity of tank B. Find in x minutes what portion of tank B filled, if all pipe P and Q and M opened alternatively in each minute starting with P, followed by Q and M respectively
For tank A- Pipes P – 36 min, Q – 72 min & M=- 54 min Total quantity = 216 units Efficiency of P = 216/36 = 6 units/min Efficiency of Q = 216/72 = 3 units/min Efficiency of M = 216/54 = (- 4) units/min According to the questions: For tank B — 6 (x – 48) + 3 (x – 48) – 4 (x – 48) = 60 6x – 288 + 3x – 144 – 4x + 192 = 60 5x = (288 + 144 + 60 – 192) x = 300/5 = 60 minutes Total quantity of tank B = 60 × 4 = 240 liter Alternatively (P + Q – M) for 60 minutes, means each pipe for 20 minutes— All three in 14 minutes (P + Q – M) = 20 × 6 + 20 × 3 – 20 × 4 = 100 liters Filled portion = 100/240 = 5/12
Who has been re- appointed as the Managing Director of the International Monetary Fund ( IMF) ?
Payment Lounge, introduced by Aditya Birla Capital Digital Limited, is described as an omni-channel platform. What does "omni-channel" mean in this cont...
Consumption Fund, an open-ended scheme that will invest in equity, equity related securities of firms engaged in consumption and consumption related act...
______ and Genpact have launched Be.Seen — a program to help scale businesses owned by minority and under-represented groups in India with an aim to...
Which city has got the first position in the '10 lakh population' category of the Clean Air Survey-2023?
The first G20 Energy Transition Working Group Meeting under India’s Presidency will be hosted by?
What is the collective name for the three Hoysala temples in Karnataka that were declared UNESCO World Heritage Sites in 2022-23?
The first service of the theme-based Bharat Gaurav Train started its journey from Coimbatore North to which place?
Which of the following global manufacturing company has decided to invest an estimated $700 million to set up a new manufacture and assemble devices pla...
Recently Asian Development Bank (ADB) slashed its growth forecast for India to ___ for FY23 from the earliest projected 7.5%.