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Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c?
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Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of e...
Solution:
Given data:
- Time taken by pipes A and B together to fill a tank = 20 hours
- Efficiency ratio of pipe A and B = 5:4
- They worked together for the first 4 hours
- Then B is closed and pipe C is opened
- Tank is filled in next 9 hours
- We need to find the time taken by pipe C alone to fill the tank
Let's find the efficiency of pipe A and B:
Let the efficiency of A be 5x
Then the efficiency of B will be 4x (as efficiency ratio is 5:4)
Efficiency of A and B together = 5x + 4x = 9x
Time taken by A and B together to fill the tank = 20 hours
Therefore, the total work done by A and B together = Efficiency x Time taken = 9x x 20 = 180 units
Let's find the work done by A and B together in the first 4 hours:
Efficiency of A and B together = 9x
Time taken by A and B together in the first 4 hours = 4 hours
Therefore, the work done by A and B together in the first 4 hours = Efficiency x Time taken = 9x x 4 = 36 units
Now, let's find the work left to be done after the first 4 hours:
Total work to fill the tank = 180 units
Work done by A and B together in the first 4 hours = 36 units
Therefore, work left to be done = 180 - 36 = 144 units
Let's find the efficiency of pipe C:
Let the efficiency of C be y
Efficiency of A, B and C together = Efficiency of A and B together + Efficiency of C
9x + y = Work done / Time taken
9x + y = 144 / 9 = 16 units/hour
Now, we know the efficiency ratio of A and B, which is 5:4. So, we can write:
Efficiency of A = 5/9 * 16 = 80/9 units/hour
Efficiency of B = 4/9 * 16 = 64/9 units/hour
Let's find the time taken by pipe C alone to fill the tank:
Efficiency of C = y
Work done by C in 9 hours = Efficiency x Time taken = y x 9
Total work done by A, B and C together in 9 hours = Work done by A and B together + Work done by C
= 36 + y x 9
As we know, the total work done by A, B and C together in 9 hours is 144 units (as 180 - 36 = 144)
So, we can write:
36 + y x 9 = 144
y x 9 = 108
y = 12 units/hour
Now, we can find the time taken by pipe C alone to fill the tank:
Efficiency of C = 12 units/hour
Total work to fill the tank = 180 units
Time taken by C alone = Total work / Efficiency of C = 180 / 12 = 15 hours
Therefore, the correct answer is option (c) 180/11 hours.
Given data:
- Time taken by pipes A and B together to fill a tank = 20 hours
- Efficiency ratio of pipe A and B = 5:4
- They worked together for the first 4 hours
- Then B is closed and pipe C is opened
- Tank is filled in next 9 hours
- We need to find the time taken by pipe C alone to fill the tank
Let's find the efficiency of pipe A and B:
Let the efficiency of A be 5x
Then the efficiency of B will be 4x (as efficiency ratio is 5:4)
Efficiency of A and B together = 5x + 4x = 9x
Time taken by A and B together to fill the tank = 20 hours
Therefore, the total work done by A and B together = Efficiency x Time taken = 9x x 20 = 180 units
Let's find the work done by A and B together in the first 4 hours:
Efficiency of A and B together = 9x
Time taken by A and B together in the first 4 hours = 4 hours
Therefore, the work done by A and B together in the first 4 hours = Efficiency x Time taken = 9x x 4 = 36 units
Now, let's find the work left to be done after the first 4 hours:
Total work to fill the tank = 180 units
Work done by A and B together in the first 4 hours = 36 units
Therefore, work left to be done = 180 - 36 = 144 units
Let's find the efficiency of pipe C:
Let the efficiency of C be y
Efficiency of A, B and C together = Efficiency of A and B together + Efficiency of C
9x + y = Work done / Time taken
9x + y = 144 / 9 = 16 units/hour
Now, we know the efficiency ratio of A and B, which is 5:4. So, we can write:
Efficiency of A = 5/9 * 16 = 80/9 units/hour
Efficiency of B = 4/9 * 16 = 64/9 units/hour
Let's find the time taken by pipe C alone to fill the tank:
Efficiency of C = y
Work done by C in 9 hours = Efficiency x Time taken = y x 9
Total work done by A, B and C together in 9 hours = Work done by A and B together + Work done by C
= 36 + y x 9
As we know, the total work done by A, B and C together in 9 hours is 144 units (as 180 - 36 = 144)
So, we can write:
36 + y x 9 = 144
y x 9 = 108
y = 12 units/hour
Now, we can find the time taken by pipe C alone to fill the tank:
Efficiency of C = 12 units/hour
Total work to fill the tank = 180 units
Time taken by C alone = Total work / Efficiency of C = 180 / 12 = 15 hours
Therefore, the correct answer is option (c) 180/11 hours.
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Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c?
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Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c? 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 Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c?.
Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c? 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 Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c?.
Solutions for Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c? in English & in Hindi are available as part of our courses for Banking Exams.
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Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c?, a detailed solution for Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c? has been provided alongside types of Que : Two pipes A and B together can fill a tank in 20 hrs. Ratio of efficiency A to B is 5:4. They together filled the tank for the first 4 hrs then B is closed and another pipe C is opened. Now if tank is filled in another 9 hrs then C alone can fill the tank in how many hrs. (a) 90/7 hr (b) 80/5 hr (c)180/11 hr (d) 180/7 hr. Correct answer is c? theory, EduRev gives you an
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