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Two pipes A and B can fill up a half full tank in 1.2 hours. The tank was initially empty. Pipe Bwas kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was thenfound that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully is
- a)4.8 hours
- b)4 hours
- c)3.6 hours
- d)6 hours
Correct answer is option 'B'. Can you explain this answer?
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Given information:
- Pipes A and B can fill up a half full tank in 1.2 hours.
- Pipe B was kept open for half the time required by pipe A to fill the tank by itself.
- Pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself.
- The tank was 5/6 full.
To find:
The least time in which any of the pipes can fill the tank fully.
Solution:
Let's assume that Pipe A can fill the tank in 'a' hours and Pipe B can fill the tank in 'b' hours.
From the given information, we can form equations as follows:
- Equation 1: A + B = 1/1.2 (as A and B together can fill the tank in 1.2 hours)
- Equation 2: B = (1/2) * A (as B was kept open for half the time required by A to fill the tank by itself)
- Equation 3: A = (1/3) * (1/2) * B (as A was kept open for the time required by B to fill 1/3 of the tank by itself)
- Equation 4: Tank is 5/6 full, so remaining 1/6th part is to be filled by either A or B.
Solving the equations, we get:
- A = 0.4 hours (or 24 minutes)
- B = 0.8 hours (or 48 minutes)
Therefore, the least time in which any of the pipes can fill the tank fully is 4 hours (as Pipe A can fill the tank in 0.4 hours or 24 minutes, which is the least time). Hence, the correct option is (B).
- Pipes A and B can fill up a half full tank in 1.2 hours.
- Pipe B was kept open for half the time required by pipe A to fill the tank by itself.
- Pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself.
- The tank was 5/6 full.
To find:
The least time in which any of the pipes can fill the tank fully.
Solution:
Let's assume that Pipe A can fill the tank in 'a' hours and Pipe B can fill the tank in 'b' hours.
From the given information, we can form equations as follows:
- Equation 1: A + B = 1/1.2 (as A and B together can fill the tank in 1.2 hours)
- Equation 2: B = (1/2) * A (as B was kept open for half the time required by A to fill the tank by itself)
- Equation 3: A = (1/3) * (1/2) * B (as A was kept open for the time required by B to fill 1/3 of the tank by itself)
- Equation 4: Tank is 5/6 full, so remaining 1/6th part is to be filled by either A or B.
Solving the equations, we get:
- A = 0.4 hours (or 24 minutes)
- B = 0.8 hours (or 48 minutes)
Therefore, the least time in which any of the pipes can fill the tank fully is 4 hours (as Pipe A can fill the tank in 0.4 hours or 24 minutes, which is the least time). Hence, the correct option is (B).
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Two pipes A and B can fill up a half full tank in 1.2 hours. The tank was initially empty. Pipe Bwas kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was thenfound that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully isa)4.8 hoursb)4 hoursc)3.6 hoursd)6 hoursCorrect answer is option 'B'. Can you explain this answer?
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Two pipes A and B can fill up a half full tank in 1.2 hours. The tank was initially empty. Pipe Bwas kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was thenfound that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully isa)4.8 hoursb)4 hoursc)3.6 hoursd)6 hoursCorrect answer is option 'B'. 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 up a half full tank in 1.2 hours. The tank was initially empty. Pipe Bwas kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was thenfound that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully isa)4.8 hoursb)4 hoursc)3.6 hoursd)6 hoursCorrect answer is option 'B'. 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 up a half full tank in 1.2 hours. The tank was initially empty. Pipe Bwas kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was thenfound that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully isa)4.8 hoursb)4 hoursc)3.6 hoursd)6 hoursCorrect answer is option 'B'. Can you explain this answer?.
Two pipes A and B can fill up a half full tank in 1.2 hours. The tank was initially empty. Pipe Bwas kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was thenfound that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully isa)4.8 hoursb)4 hoursc)3.6 hoursd)6 hoursCorrect answer is option 'B'. 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 up a half full tank in 1.2 hours. The tank was initially empty. Pipe Bwas kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was thenfound that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully isa)4.8 hoursb)4 hoursc)3.6 hoursd)6 hoursCorrect answer is option 'B'. 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 up a half full tank in 1.2 hours. The tank was initially empty. Pipe Bwas kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was thenfound that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully isa)4.8 hoursb)4 hoursc)3.6 hoursd)6 hoursCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two pipes A and B can fill up a half full tank in 1.2 hours. The tank was initially empty. Pipe Bwas kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was thenfound that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully isa)4.8 hoursb)4 hoursc)3.6 hoursd)6 hoursCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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