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Two Pipes A and B together can fill a Tank in ‘X’ minutes. If ‘A’ is Inlet Pipe can Fill the Tank alone in 40 minutes less than ‘X’ minutes and ‘B’ is Outlet pipe can empty the Tank alone in 30 minutes less than ‘X’ minutes. Then together they can fill the empty Tank in how many minutes?
- a)48 Minutes
- b)54 Minutes
- c)60 Minutes
- d)70 Minutes
- e)None
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two Pipes A and B together can fill a Tank in ‘X’ minutes....
1/x-40 – 1/x-30 = 1/x
x = 60 min
x = 60 min
Most Upvoted Answer
Two Pipes A and B together can fill a Tank in ‘X’ minutes....
X hours.
Pipe A can fill the tank in y hours.
Pipe B can fill the tank in z hours.
To find the time it takes for each pipe to fill the tank separately, we can use the formula:
Time = Volume / Rate
The rate at which Pipe A fills the tank is 1/y, and the rate at which Pipe B fills the tank is 1/z.
Let the volume of the tank be V.
Therefore, the time it takes for Pipe A to fill the tank is V / (1/y) = Vy.
Similarly, the time it takes for Pipe B to fill the tank is V / (1/z) = Vz.
Now, let's find the time it takes for both pipes to fill the tank together.
The combined rate at which both pipes fill the tank is 1/x.
So, the time it takes for both pipes to fill the tank is V / (1/x) = Vx.
Since we know that Pipe A and Pipe B together can fill the tank in x hours, we can equate the times:
Vx = Vy + Vz
Dividing both sides of the equation by V, we get:
x = y + z
Therefore, the time it takes for both pipes to fill the tank together is equal to the sum of the times it takes for each pipe to fill the tank separately.
Pipe A can fill the tank in y hours.
Pipe B can fill the tank in z hours.
To find the time it takes for each pipe to fill the tank separately, we can use the formula:
Time = Volume / Rate
The rate at which Pipe A fills the tank is 1/y, and the rate at which Pipe B fills the tank is 1/z.
Let the volume of the tank be V.
Therefore, the time it takes for Pipe A to fill the tank is V / (1/y) = Vy.
Similarly, the time it takes for Pipe B to fill the tank is V / (1/z) = Vz.
Now, let's find the time it takes for both pipes to fill the tank together.
The combined rate at which both pipes fill the tank is 1/x.
So, the time it takes for both pipes to fill the tank is V / (1/x) = Vx.
Since we know that Pipe A and Pipe B together can fill the tank in x hours, we can equate the times:
Vx = Vy + Vz
Dividing both sides of the equation by V, we get:
x = y + z
Therefore, the time it takes for both pipes to fill the tank together is equal to the sum of the times it takes for each pipe to fill the tank separately.
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Community Answer
Two Pipes A and B together can fill a Tank in ‘X’ minutes....
1/x-40 – 1/x-30 = 1/x
x = 60 min
x = 60 min
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Two Pipes A and B together can fill a Tank in ‘X’ minutes. If ‘A’ is Inlet Pipe can Fill the Tank alone in 40 minutes less than ‘X’ minutes and ‘B’ is Outlet pipe can empty the Tank alone in 30 minutes less than ‘X’ minutes. Then together they can fill the empty Tank in how many minutes?a)48 Minutesb)54 Minutesc)60 Minutesd)70 Minutese)NoneCorrect answer is option 'C'. Can you explain this answer?
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Two Pipes A and B together can fill a Tank in ‘X’ minutes. If ‘A’ is Inlet Pipe can Fill the Tank alone in 40 minutes less than ‘X’ minutes and ‘B’ is Outlet pipe can empty the Tank alone in 30 minutes less than ‘X’ minutes. Then together they can fill the empty Tank in how many minutes?a)48 Minutesb)54 Minutesc)60 Minutesd)70 Minutese)NoneCorrect answer is option 'C'. 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 Two Pipes A and B together can fill a Tank in ‘X’ minutes. If ‘A’ is Inlet Pipe can Fill the Tank alone in 40 minutes less than ‘X’ minutes and ‘B’ is Outlet pipe can empty the Tank alone in 30 minutes less than ‘X’ minutes. Then together they can fill the empty Tank in how many minutes?a)48 Minutesb)54 Minutesc)60 Minutesd)70 Minutese)NoneCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two Pipes A and B together can fill a Tank in ‘X’ minutes. If ‘A’ is Inlet Pipe can Fill the Tank alone in 40 minutes less than ‘X’ minutes and ‘B’ is Outlet pipe can empty the Tank alone in 30 minutes less than ‘X’ minutes. Then together they can fill the empty Tank in how many minutes?a)48 Minutesb)54 Minutesc)60 Minutesd)70 Minutese)NoneCorrect answer is option 'C'. Can you explain this answer?.
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