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It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided to
simultaneously pump water into the half-full tank while draining it. What is the rate at which
water has to be pumped in so that it gets fully filled in 10 minutes?
simultaneously pump water into the half-full tank while draining it. What is the rate at which
water has to be pumped in so that it gets fully filled in 10 minutes?
- a)4 times the draining rate
- b)3 times the draining rate
- c)2.5 times the draining rate
- d)2 times the draining rate
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
It takes 30 minutes to empty a half-full tank by draining it at a cons...
Vhalf= 30(s) drawing rate = s
Total volume =60 S tank
(s1 )(10)- (s)10= 30s
s1 (s) -s= 3s
s1= 4s
s1= 4drawing rate
Total volume =60 S tank
(s1 )(10)- (s)10= 30s
s1 (s) -s= 3s
s1= 4s
s1= 4drawing rate
Most Upvoted Answer
It takes 30 minutes to empty a half-full tank by draining it at a cons...
Understanding the problem:
Given that it takes 30 minutes to empty a half-full tank by draining it at a constant rate, we need to find the rate at which water has to be pumped in so that it gets fully filled in 10 minutes.
Approach:
Let's assume the draining rate is D and the filling rate is F. Since the tank is half-full and it takes 30 minutes to empty it, the draining rate is 1/30 of the tank capacity per minute. To fill the tank in 10 minutes, we need the total rate of pumping in to be 1/10 of the tank capacity per minute.
Solution:
- Draining rate (D) = 1/30 of tank capacity per minute
- Filling rate = 1/10 of tank capacity per minute
Now, to find the rate at which water has to be pumped in, we need to find the ratio of the filling rate to the draining rate:
Filling rate / Draining rate = (1/10) / (1/30) = 3
Therefore, the rate at which water has to be pumped in to fully fill the tank in 10 minutes is 3 times the draining rate, which corresponds to option 'A'.
Given that it takes 30 minutes to empty a half-full tank by draining it at a constant rate, we need to find the rate at which water has to be pumped in so that it gets fully filled in 10 minutes.
Approach:
Let's assume the draining rate is D and the filling rate is F. Since the tank is half-full and it takes 30 minutes to empty it, the draining rate is 1/30 of the tank capacity per minute. To fill the tank in 10 minutes, we need the total rate of pumping in to be 1/10 of the tank capacity per minute.
Solution:
- Draining rate (D) = 1/30 of tank capacity per minute
- Filling rate = 1/10 of tank capacity per minute
Now, to find the rate at which water has to be pumped in, we need to find the ratio of the filling rate to the draining rate:
Filling rate / Draining rate = (1/10) / (1/30) = 3
Therefore, the rate at which water has to be pumped in to fully fill the tank in 10 minutes is 3 times the draining rate, which corresponds to option 'A'.
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It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided tosimultaneously pump water into the half-full tank while draining it. What is the rate at whichwater has to be pumped in so that it gets fully filled in 10 minutes?a)4 times the draining rateb)3 times the draining ratec)2.5 times the draining rated)2 times the draining rateCorrect answer is option 'A'. Can you explain this answer?
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It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided tosimultaneously pump water into the half-full tank while draining it. What is the rate at whichwater has to be pumped in so that it gets fully filled in 10 minutes?a)4 times the draining rateb)3 times the draining ratec)2.5 times the draining rated)2 times the draining rateCorrect answer is option 'A'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided tosimultaneously pump water into the half-full tank while draining it. What is the rate at whichwater has to be pumped in so that it gets fully filled in 10 minutes?a)4 times the draining rateb)3 times the draining ratec)2.5 times the draining rated)2 times the draining rateCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided tosimultaneously pump water into the half-full tank while draining it. What is the rate at whichwater has to be pumped in so that it gets fully filled in 10 minutes?a)4 times the draining rateb)3 times the draining ratec)2.5 times the draining rated)2 times the draining rateCorrect answer is option 'A'. Can you explain this answer?.
It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided tosimultaneously pump water into the half-full tank while draining it. What is the rate at whichwater has to be pumped in so that it gets fully filled in 10 minutes?a)4 times the draining rateb)3 times the draining ratec)2.5 times the draining rated)2 times the draining rateCorrect answer is option 'A'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided tosimultaneously pump water into the half-full tank while draining it. What is the rate at whichwater has to be pumped in so that it gets fully filled in 10 minutes?a)4 times the draining rateb)3 times the draining ratec)2.5 times the draining rated)2 times the draining rateCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided tosimultaneously pump water into the half-full tank while draining it. What is the rate at whichwater has to be pumped in so that it gets fully filled in 10 minutes?a)4 times the draining rateb)3 times the draining ratec)2.5 times the draining rated)2 times the draining rateCorrect answer is option 'A'. Can you explain this answer?.
Solutions for It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided tosimultaneously pump water into the half-full tank while draining it. What is the rate at whichwater has to be pumped in so that it gets fully filled in 10 minutes?a)4 times the draining rateb)3 times the draining ratec)2.5 times the draining rated)2 times the draining rateCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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