Question
Pipes M, N and S can fill a tank in 25, 50 and 100
minutes, respectively. Initially, pipes N and S are kept open for 10 minutes, and then pipe N is shut while pipe M is opened. Pipe S is closed 15 minutes before the tank overflows. How much time (in minutes) will it take to fill the tank if the three pipes work in this pattern?Solution
Pipes M, N, and S fill the tank in 25, 50, and 100 minutes, respectively. Their rates are 1/25, 1/50, and 1/100 tank per minute. N and S fill in 10 minutes: Part filled = 10 × (1/50 + 1/100) = 10 × 3/100 = Remaining part: 1 – 3/10 = 7/10 Let x be the time taken after N is shut. For the last 15 minutes, only M works: Part filled by M in 15 minutes=15/25 = 3/5 Remaining part before the last 15 minutes: 7/10 – 3/5 = 7/10 – 6/10 = 1/10 Let t be the time when both M and S work: t × (1/25 + 1/100) = 1/10 t × 5/100 = 1/10 ⟹ t = 2 Total time: 10 + 2 + 15 = 27 minutes.
What is the Minimum Support Price (MSP) for Raw Jute for the 2024-25 season, as approved by the Cabinet Committee on Economic Affairs?
In the network layer, in what form is data transferred across the logical network path?
Who is responsible for the Ministry of Road Transport & Highways?
The ‘NAMASTE’ scheme is a collaborative initiative launched by the Ministry of Housing and Urban Affairs and which other ministry?
Consider the following statements about Yellow Sea:
1. Recently, A US warship was crashed into Yellow Sea waters.
2. It ...
In the Global Drug Policy Index 2021 what was India’s rank?
Where will the 2025 United Nations Public Service Forum be held?
SBM Bank (India) has raised ______ through the issuance of the second tranche of Basel-III compliant tier II bonds in January 2023.
Which state's tourism board has partnered with Starscapes for the Nakshatra Sabha initiative?
What percentage of operational waste did Hindalco recycle in FY24?
Relevant for Exams:
