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There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/4 filled of the 10 hours, what is total duration of hours required to fill it completely?
- a)12
- b)25
- c)05
- d)27
Correct answer is option 'A'. Can you explain this answer?
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There are two water tanks A and B, A is much smaller than B. While wat...
Problem Solving Strategy:
We need to calculate the total time taken to fill the tank B completely. We can do so by finding out how much water is filled in B in one hour and then calculate the total time required to fill it up completely.
Given Information:
Rate of filling of tank A = 1 liter/hour
Rate of filling of tank B = 10, 20, 40, 80, 160 liters in 1 hour, 2 hours, 4 hours, 8 hours, and 16 hours respectively.
Tank B is 1/4 filled in 10 hours.
Solution:
Let's find out how much water is filled in tank B in one hour. We can see that the amount of water filled in tank B is increasing in the form of a geometric progression with the common ratio of 2.
So, the amount of water filled in tank B in one hour is:
10+20+40+80+160 = 310 liters.
Now, we know that tank B is 1/4 filled in 10 hours. So, the amount of water filled in tank B in 10 hours is:
1/4 × Capacity of Tank B = 1/4 × (10+20+40+80+160+320+640+1280+2560+5120) = 2047.5 liters.
Therefore, the amount of water that will be filled in tank B in the next hour will be:
2047.5 + 310 = 2357.5 liters.
Similarly, we can find out the amount of water that will be filled in tank B in each subsequent hour until it is completely filled.
Let's make a table to represent this:
| Time (in hours) | Amount of water filled (in liters) |
|----------------|-----------------------------------|
| 1 | 310 |
| 2 | 620 |
| 3 | 1240 |
| 4 | 2480 |
| 5 | 4960 |
| 6 | 9920 |
| 7 | 19840 |
| 8 | 39680 |
| 9 | 79360 |
| 10 | 158720 |
| 11 | 317440 |
Therefore, the tank B will be completely filled in 12 hours.
Hence, the correct answer is option 'A'.
We need to calculate the total time taken to fill the tank B completely. We can do so by finding out how much water is filled in B in one hour and then calculate the total time required to fill it up completely.
Given Information:
Rate of filling of tank A = 1 liter/hour
Rate of filling of tank B = 10, 20, 40, 80, 160 liters in 1 hour, 2 hours, 4 hours, 8 hours, and 16 hours respectively.
Tank B is 1/4 filled in 10 hours.
Solution:
Let's find out how much water is filled in tank B in one hour. We can see that the amount of water filled in tank B is increasing in the form of a geometric progression with the common ratio of 2.
So, the amount of water filled in tank B in one hour is:
10+20+40+80+160 = 310 liters.
Now, we know that tank B is 1/4 filled in 10 hours. So, the amount of water filled in tank B in 10 hours is:
1/4 × Capacity of Tank B = 1/4 × (10+20+40+80+160+320+640+1280+2560+5120) = 2047.5 liters.
Therefore, the amount of water that will be filled in tank B in the next hour will be:
2047.5 + 310 = 2357.5 liters.
Similarly, we can find out the amount of water that will be filled in tank B in each subsequent hour until it is completely filled.
Let's make a table to represent this:
| Time (in hours) | Amount of water filled (in liters) |
|----------------|-----------------------------------|
| 1 | 310 |
| 2 | 620 |
| 3 | 1240 |
| 4 | 2480 |
| 5 | 4960 |
| 6 | 9920 |
| 7 | 19840 |
| 8 | 39680 |
| 9 | 79360 |
| 10 | 158720 |
| 11 | 317440 |
Therefore, the tank B will be completely filled in 12 hours.
Hence, the correct answer is option 'A'.
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There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/4 filled of the 10 hours, what is total duration of hours required to fill it completely?a)12b)25c)05d)27Correct answer is option 'A'. Can you explain this answer?
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There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/4 filled of the 10 hours, what is total duration of hours required to fill it completely?a)12b)25c)05d)27Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/4 filled of the 10 hours, what is total duration of hours required to fill it completely?a)12b)25c)05d)27Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/4 filled of the 10 hours, what is total duration of hours required to fill it completely?a)12b)25c)05d)27Correct answer is option 'A'. Can you explain this answer?.
There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/4 filled of the 10 hours, what is total duration of hours required to fill it completely?a)12b)25c)05d)27Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/4 filled of the 10 hours, what is total duration of hours required to fill it completely?a)12b)25c)05d)27Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/4 filled of the 10 hours, what is total duration of hours required to fill it completely?a)12b)25c)05d)27Correct answer is option 'A'. Can you explain this answer?.
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