Question
Pipe 'A' can fill a tank in 15 hours. Pipe 'B' is ____% as
efficient as pipe 'A'. If both pipes are opened simultaneously, the tank will be completely full in ____hours.The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true: I. 100, 7.5 II. 20, 12.5 III. 66.67, 9Solution
Let the capacity of the tank be '75x' litres.
So, efficiency of pipe 'A' = 75x ÷ 15 = '5x' litres/hour
For: I Efficiency of pipe 'B' = 5x × 1.00 = '5x' litres/hour
Time taken by both pipes together to fill the tank = 75x ÷ (5x + 5x) = 75x ÷ 10x = 7.5 hours
Therefore, statement 'I' is true.
For: II
Efficiency of pipe 'B' = 5x × 0.20 = '1x' litres/hour
Time taken by both pipes together to fill the tank = 75x ÷ (1x + 5x) = 75x ÷ 6x = 12.5 hours Therefore, statement 'II' is true.
For: III Efficiency of pipe 'B' = 5x × 0.6667 = '3.33x' litres/hour
Time taken by both pipes together to fill the tank = 75x ÷ (3.33x + 5x) = 75x ÷ 8.33x = 9 hours
Therefore, statement 'III' is true.
What does the strategic importance of the Nimmu-Padam-Darcha road signify for Ladakh?
What is the guaranteed pension amount range under the Atal Pension Yojana?
What is the aim of the 'Rahveer' scheme launched by Madhya Pradesh?
According to a study, every rupee invested in agricultural research in India yields a return of nearly ₹____.
First G-20 Meeting to take Place in which State/UTs on Jan 31.
How much has the Indian government committed to supporting AI startups, projects, and large language models (LLMs)?
What is the altitude of Mig La Pass in Ladakh, where India built the world’s highest motorable road?
Who was appointed Chairperson of the NSE Governing Board in 2025?
What is the primary objective of the Indian Military Heritage Festival inaugurated by Raksha Mantri Rajnath Singh?
- What was Syed Abid Ali’s total number of runs scored in Test matches?
