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A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?
- a)121 minutes
- b)110 minutes
- c)115 minutes
- d)119 minutes
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A tank has two pipes – A and B, attached to it. A can fill the t...
Pipe A can fill the tank in 20 minutes.
So, part of the tank filled in 1 minute = 1/20
Pipe B can empty the tank in 30 minutes.
So, part of tank emptied in 1 minute = 1/30
Part of tank filled in 2 minutes (Pipe A is opened for 1 minute and Pipe B is opened for the next 1 minute)= 1/20 – 1/30 = 1/60
Part of the tank filled in 59 × 2 = 118 minutes = 59/60.
The last 1/60th part is filled in 119th minute.
Hence, the tank is filled in around 119 minutes.
Option (d) is the correct answer.
So, part of the tank filled in 1 minute = 1/20
Pipe B can empty the tank in 30 minutes.
So, part of tank emptied in 1 minute = 1/30
Part of tank filled in 2 minutes (Pipe A is opened for 1 minute and Pipe B is opened for the next 1 minute)= 1/20 – 1/30 = 1/60
Part of the tank filled in 59 × 2 = 118 minutes = 59/60.
The last 1/60th part is filled in 119th minute.
Hence, the tank is filled in around 119 minutes.
Option (d) is the correct answer.
Most Upvoted Answer
A tank has two pipes – A and B, attached to it. A can fill the t...
Filling it. The first pipe can fill the tank in 4 hours, while the second pipe can fill it in 6 hours. If both pipes are turned on at the same time, how long will it take to fill the tank?
To solve this problem, we need to use the formula:
Time = Volume / Rate
where Volume is the capacity of the tank, and Rate is the rate at which each pipe can fill the tank. Let's assume the capacity of the tank is 24 liters (this is the least common multiple of 4 and 6).
For the first pipe, the rate of filling is:
Rate1 = Volume / Time1 = 24 / 4 = 6 liters/hour
For the second pipe, the rate of filling is:
Rate2 = Volume / Time2 = 24 / 6 = 4 liters/hour
When both pipes are turned on, their rates add up:
Rate_total = Rate1 + Rate2 = 6 + 4 = 10 liters/hour
Now we can use the formula to find the time it takes to fill the tank:
Time_total = Volume / Rate_total = 24 / 10 = 2.4 hours
Therefore, it will take 2.4 hours (or 2 hours and 24 minutes) to fill the tank if both pipes are turned on at the same time.
To solve this problem, we need to use the formula:
Time = Volume / Rate
where Volume is the capacity of the tank, and Rate is the rate at which each pipe can fill the tank. Let's assume the capacity of the tank is 24 liters (this is the least common multiple of 4 and 6).
For the first pipe, the rate of filling is:
Rate1 = Volume / Time1 = 24 / 4 = 6 liters/hour
For the second pipe, the rate of filling is:
Rate2 = Volume / Time2 = 24 / 6 = 4 liters/hour
When both pipes are turned on, their rates add up:
Rate_total = Rate1 + Rate2 = 6 + 4 = 10 liters/hour
Now we can use the formula to find the time it takes to fill the tank:
Time_total = Volume / Rate_total = 24 / 10 = 2.4 hours
Therefore, it will take 2.4 hours (or 2 hours and 24 minutes) to fill the tank if both pipes are turned on at the same time.
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A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?a)121 minutesb)110 minutesc)115 minutesd)119 minutesCorrect answer is option 'D'. Can you explain this answer?
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A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?a)121 minutesb)110 minutesc)115 minutesd)119 minutesCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?a)121 minutesb)110 minutesc)115 minutesd)119 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?a)121 minutesb)110 minutesc)115 minutesd)119 minutesCorrect answer is option 'D'. Can you explain this answer?.
A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?a)121 minutesb)110 minutesc)115 minutesd)119 minutesCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?a)121 minutesb)110 minutesc)115 minutesd)119 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?a)121 minutesb)110 minutesc)115 minutesd)119 minutesCorrect answer is option 'D'. Can you explain this answer?.
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A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?a)121 minutesb)110 minutesc)115 minutesd)119 minutesCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?a)121 minutesb)110 minutesc)115 minutesd)119 minutesCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A tank has two pipes – A and B, attached to it. A can fill the tank in 20 minutes, whereas pipe B can empty the tank in 30 minutes. If both A and B are opened alternately for one minute each, how long will it take to fill the tank?a)121 minutesb)110 minutesc)115 minutesd)119 minutesCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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