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One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 of the tank in 4 minutes. Find the time taken by both pipe together to fill half the tank?
- a)40/9 minutes
- b)50/9 minutes
- c)44/9 minutes
- d)53/9 minutes
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 ...
First pipe will take 16 minutes to fill the tank alone. Similarly second pipe will take 20 minutes to fill the tank alone. Let T is the time in which both the pipes will fill half the tank
(1/16 + 1/20)*T = 1/2, we get T = 40/9 minutes
(1/16 + 1/20)*T = 1/2, we get T = 40/9 minutes
Most Upvoted Answer
One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 ...
First pipe will take 16 minutes to fill the tank alone. Similarly second pipe will take 20 minutes to fill the tank alone. Let T is the time in which both the pipes will fill half the tank
(1/16 + 1/20)*T = 1/2, we get T = 40/9 minutes
(1/16 + 1/20)*T = 1/2, we get T = 40/9 minutes
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Community Answer
One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 ...
To solve this problem, we can calculate the rates at which each pipe fills the tank and then determine the combined rate at which both pipes fill the tank.
Let's start by finding the rate at which each pipe fills the tank.
Pipe 1: Fills 1/4 of the tank in 4 minutes
Pipe 2: Fills 1/5 of the tank in 4 minutes
To find the rates, we can divide the fraction filled by the time taken for each pipe.
Pipe 1 rate = (1/4) / 4 = 1/16 of the tank per minute
Pipe 2 rate = (1/5) / 4 = 1/20 of the tank per minute
Next, we need to determine the combined rate at which both pipes fill the tank. We can add the rates of the two pipes together.
Combined rate = Pipe 1 rate + Pipe 2 rate
Combined rate = 1/16 + 1/20
Combined rate = (5/80) + (4/80)
Combined rate = 9/80 of the tank per minute
Now we can find the time taken by both pipes to fill half the tank. Since the combined rate is given in terms of minutes per tank, we can invert the rate to find the time taken.
Time taken = 1 / (combined rate)
Time taken = 1 / (9/80)
Time taken = 80/9 minutes
Therefore, the time taken by both pipes together to fill half the tank is 80/9 minutes, which is equivalent to option A.
Let's start by finding the rate at which each pipe fills the tank.
Pipe 1: Fills 1/4 of the tank in 4 minutes
Pipe 2: Fills 1/5 of the tank in 4 minutes
To find the rates, we can divide the fraction filled by the time taken for each pipe.
Pipe 1 rate = (1/4) / 4 = 1/16 of the tank per minute
Pipe 2 rate = (1/5) / 4 = 1/20 of the tank per minute
Next, we need to determine the combined rate at which both pipes fill the tank. We can add the rates of the two pipes together.
Combined rate = Pipe 1 rate + Pipe 2 rate
Combined rate = 1/16 + 1/20
Combined rate = (5/80) + (4/80)
Combined rate = 9/80 of the tank per minute
Now we can find the time taken by both pipes to fill half the tank. Since the combined rate is given in terms of minutes per tank, we can invert the rate to find the time taken.
Time taken = 1 / (combined rate)
Time taken = 1 / (9/80)
Time taken = 80/9 minutes
Therefore, the time taken by both pipes together to fill half the tank is 80/9 minutes, which is equivalent to option A.
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One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 of the tank in 4 minutes. Find the time taken by both pipe together to fill half the tank?a)40/9 minutesb)50/9 minutesc)44/9 minutesd)53/9 minutese)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 of the tank in 4 minutes. Find the time taken by both pipe together to fill half the tank?a)40/9 minutesb)50/9 minutesc)44/9 minutesd)53/9 minutese)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 of the tank in 4 minutes. Find the time taken by both pipe together to fill half the tank?a)40/9 minutesb)50/9 minutesc)44/9 minutesd)53/9 minutese)None of theseCorrect answer is option 'A'. Can you explain this answer?.
One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 of the tank in 4 minutes. Find the time taken by both pipe together to fill half the tank?a)40/9 minutesb)50/9 minutesc)44/9 minutesd)53/9 minutese)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 of the tank in 4 minutes. Find the time taken by both pipe together to fill half the tank?a)40/9 minutesb)50/9 minutesc)44/9 minutesd)53/9 minutese)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 of the tank in 4 minutes. Find the time taken by both pipe together to fill half the tank?a)40/9 minutesb)50/9 minutesc)44/9 minutesd)53/9 minutese)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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