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A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at.
- a)05 : 55 pm
- b)05 : 00 pm
- c)05 : 20 pm
- d)05 : 30 pm
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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A water reservoir has two inlets and one outlet. Through the inlet it ...
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A water reservoir has two inlets and one outlet. Through the inlet it ...
Given information:
- A water reservoir has two inlets and one outlet.
- Filling time through inlet 1 = 3 hours
- Filling time through inlet 2 = 3 hours 45 minutes
- Emptying time through outlet = 1 hour
- Inlet 1 opened at 01:00 pm
- Inlet 2 opened at 02:00 pm
- Outlet opened at 03:00 pm
To find:
- Time when the reservoir will be emptied
Solution:
Let's assume the capacity of the reservoir is 'x' litres.
- Filling rate through inlet 1 = x/3 litres per hour
- Filling rate through inlet 2 = x/(3 3/4) = x/(15/4) = 4x/15 litres per hour
- Emptying rate through outlet = x/1 litres per hour
Let's calculate the amount of water filled in the reservoir from 01:00 pm to 02:00 pm:
- Inlet 1 was opened for 1 hour and filled x/3 litres of water
- Inlet 2 was opened for 1 hour and filled (4x/15) litres of water
- Total water filled in 1 hour = x/3 + 4x/15 = 3x/5 litres
Now, let's calculate the amount of water filled in the reservoir from 02:00 pm to 03:00 pm:
- Inlet 2 was opened for 1 hour and filled (4x/15) litres of water
Total water filled in 2 hours = 3x/5 + 4x/15 = 5x/3 litres
So, at 03:00 pm, the total amount of water in the reservoir = 5x/3 - x = 2x/3 litres
Now, the outlet is opened and the water starts to empty at a rate of x/1 litres per hour.
- Time taken to empty the water = (2x/3) / (x/1) = 2 hours
Therefore, the time when the reservoir will be emptied = 03:00 pm + 2 hours = 05:00 pm
Hence, option C (05:20 pm) is the correct answer.
- A water reservoir has two inlets and one outlet.
- Filling time through inlet 1 = 3 hours
- Filling time through inlet 2 = 3 hours 45 minutes
- Emptying time through outlet = 1 hour
- Inlet 1 opened at 01:00 pm
- Inlet 2 opened at 02:00 pm
- Outlet opened at 03:00 pm
To find:
- Time when the reservoir will be emptied
Solution:
Let's assume the capacity of the reservoir is 'x' litres.
- Filling rate through inlet 1 = x/3 litres per hour
- Filling rate through inlet 2 = x/(3 3/4) = x/(15/4) = 4x/15 litres per hour
- Emptying rate through outlet = x/1 litres per hour
Let's calculate the amount of water filled in the reservoir from 01:00 pm to 02:00 pm:
- Inlet 1 was opened for 1 hour and filled x/3 litres of water
- Inlet 2 was opened for 1 hour and filled (4x/15) litres of water
- Total water filled in 1 hour = x/3 + 4x/15 = 3x/5 litres
Now, let's calculate the amount of water filled in the reservoir from 02:00 pm to 03:00 pm:
- Inlet 2 was opened for 1 hour and filled (4x/15) litres of water
Total water filled in 2 hours = 3x/5 + 4x/15 = 5x/3 litres
So, at 03:00 pm, the total amount of water in the reservoir = 5x/3 - x = 2x/3 litres
Now, the outlet is opened and the water starts to empty at a rate of x/1 litres per hour.
- Time taken to empty the water = (2x/3) / (x/1) = 2 hours
Therefore, the time when the reservoir will be emptied = 03:00 pm + 2 hours = 05:00 pm
Hence, option C (05:20 pm) is the correct answer.
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A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at.a)05 : 55 pmb)05 : 00 pmc)05 : 20 pmd)05 : 30 pme)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at.a)05 : 55 pmb)05 : 00 pmc)05 : 20 pmd)05 : 30 pme)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at.a)05 : 55 pmb)05 : 00 pmc)05 : 20 pmd)05 : 30 pme)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at.a)05 : 55 pmb)05 : 00 pmc)05 : 20 pmd)05 : 30 pme)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at.a)05 : 55 pmb)05 : 00 pmc)05 : 20 pmd)05 : 30 pme)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at.a)05 : 55 pmb)05 : 00 pmc)05 : 20 pmd)05 : 30 pme)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at.a)05 : 55 pmb)05 : 00 pmc)05 : 20 pmd)05 : 30 pme)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at.a)05 : 55 pmb)05 : 00 pmc)05 : 20 pmd)05 : 30 pme)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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ample number of questions to practice A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01 : 00 pm and 02 : 00 pm respectively and the outlet at 03 : 00 pm then it will be emptied at.a)05 : 55 pmb)05 : 00 pmc)05 : 20 pmd)05 : 30 pme)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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