Quantitative Aptitude – Arithmetic – Pipes and Cisterns – A tank has an inlet pipe
Quantitative Aptitude – Arithmetic – Pipes and Cisterns
Question
A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?
A) 20
B) 30
C) 40
D) 45
Answer
Option (A)
Solution
From CAT 2017 – Quantitative Aptitude – Arithmetic – Pipes and Cisterns, we can see that,
The time in which inlet pipe can fill tank (a) = 8 hrs
Time in which outlet pipe can empty the tank = b
1/a – 1/b = 1/10
On solving, we get b = 40 hrs
Half of the tank will be empty when b=20 hrs
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