Question
Pipes X and Y can fill a tank in 48 minutes and 80 minutes
respectively. Another pipe Z can empty the tank in 2 hours. X and Z are opened together. If after 36 minutes, Y is also opened, then how long will it take to fill the tank completely?Solution
ATQ,
Let the capacity of the tank be 240 litres (LCM of 48, 80 and 120)
Efficiency of X = 240 ÷ 48 = 5 litres/minute
Efficiency of Y = 240 ÷ 80 = 3 litres/minute
Efficiency of Z = 240 ÷ 120 = -2 litres/minute (since it is an outlet pipe)
Tank filled in 36 minutes = (5 - 2) × 36 = 108 litres
Remaining tank to be filled = 240 - 108 = 132 litres
Time to fill remaining = 132 ÷ (5 + 3 - 2) = 132 ÷ 6 = 22 minutes
Total time taken = 36 + 22 = 58 minutes
As part of Operation Sadbhav, how many tonnes of aid were sent to Vietnam?
Katchatheevu Island is located in?
Consider the following statements about National Service Scheme (NSS):
1. It allows students to take part in various Government led community s...
Which state recently launched an initiative to provide caste and income certificates to students within seven days?
In May 2023, which of the following states became the first state in the country to launch a state robotics framework with a vision to create a sustaina...
Consumer Protection Act, 2019 has replaced which of the following?
Who matched a season record of 15 wins at the U.S. Grand Prix and clinched his 50th Formula One career victory, earning the title of triple world champion?
 At the Senior World Wrestling Championship, which Indian had won the bronze medal ?
Which country was responsible for launching the Tianlian II-05 satellite?
In which language was the epic "Ramcharitmanas" written by Tulsidas?
Relevant for Exams:
