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Two pipes A and B can fill a tank in 10 hours and 15 hours respectively while a third pipe C can empty the full tank in 20 hours. All the pipes are opened for 5 hours and then C is closed. Find the time in which the tank is full?
- a)5.5 hrs
- b)6.5 hrs
- c)7.5 hrs
- d)8.5 hrs
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two pipes A and B can fill a tank in 10 hours and 15 hours respectivel...
Most Upvoted Answer
Two pipes A and B can fill a tank in 10 hours and 15 hours respectivel...
Given:
Pipe A can fill the tank in 10 hours
Pipe B can fill the tank in 15 hours
Pipe C can empty the tank in 20 hours
All pipes are opened for 5 hours and then C is closed.
Approach:
Let the capacity of the tank be 'x'.
In 1 hour, pipe A can fill x/10 part of the tank.
In 1 hour, pipe B can fill x/15 part of the tank.
In 1 hour, pipe C can empty x/20 part of the tank.
Let us assume that the tank is filled in 't' hours.
After 5 hours, the fraction of the tank filled by pipes A and B is (5/x) * [(x/10) + (x/15)] = (1/6).
So, the remaining fraction of the tank to be filled is (1 - 1/6) = (5/6).
Now, only pipes A and B are working.
So, the fraction of the tank filled by pipes A and B in 't-5' hours is (5/6).
[(t-5)/10] * (x/10) + [(t-5)/15] * (x/15) = (5/6)
Solving the above equation, we get t = 7.5 hours.
Therefore, the tank will be full in 7.5 hours.
Answer: Option C.
Pipe A can fill the tank in 10 hours
Pipe B can fill the tank in 15 hours
Pipe C can empty the tank in 20 hours
All pipes are opened for 5 hours and then C is closed.
Approach:
Let the capacity of the tank be 'x'.
In 1 hour, pipe A can fill x/10 part of the tank.
In 1 hour, pipe B can fill x/15 part of the tank.
In 1 hour, pipe C can empty x/20 part of the tank.
Let us assume that the tank is filled in 't' hours.
After 5 hours, the fraction of the tank filled by pipes A and B is (5/x) * [(x/10) + (x/15)] = (1/6).
So, the remaining fraction of the tank to be filled is (1 - 1/6) = (5/6).
Now, only pipes A and B are working.
So, the fraction of the tank filled by pipes A and B in 't-5' hours is (5/6).
[(t-5)/10] * (x/10) + [(t-5)/15] * (x/15) = (5/6)
Solving the above equation, we get t = 7.5 hours.
Therefore, the tank will be full in 7.5 hours.
Answer: Option C.
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Community Answer
Two pipes A and B can fill a tank in 10 hours and 15 hours respectivel...
(1/10 + 1/15 – 1/20)*5 + (1/10 + 1/15)*T = 1. We will get T = 2.5 hrs
so total time = 5 + 2.5 = 7.5 hrs
so total time = 5 + 2.5 = 7.5 hrs
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Two pipes A and B can fill a tank in 10 hours and 15 hours respectively while a third pipe C can empty the full tank in 20 hours. All the pipes are opened for 5 hours and then C is closed. Find the time in which the tank is full?a)5.5 hrsb)6.5 hrsc)7.5 hrsd)8.5 hrse)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Two pipes A and B can fill a tank in 10 hours and 15 hours respectively while a third pipe C can empty the full tank in 20 hours. All the pipes are opened for 5 hours and then C is closed. Find the time in which the tank is full?a)5.5 hrsb)6.5 hrsc)7.5 hrsd)8.5 hrse)None of theseCorrect 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 can fill a tank in 10 hours and 15 hours respectively while a third pipe C can empty the full tank in 20 hours. All the pipes are opened for 5 hours and then C is closed. Find the time in which the tank is full?a)5.5 hrsb)6.5 hrsc)7.5 hrsd)8.5 hrse)None of theseCorrect 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 can fill a tank in 10 hours and 15 hours respectively while a third pipe C can empty the full tank in 20 hours. All the pipes are opened for 5 hours and then C is closed. Find the time in which the tank is full?a)5.5 hrsb)6.5 hrsc)7.5 hrsd)8.5 hrse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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