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A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?
- a)8 hrs 45 mins.
- b)9 hrs.
- c)9 hrs 30 mins.
- d)11 hrs 40 mins.
- e)15 hrs 30 mins .
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A pool which was 2/3 full to begin with, was filled at a constant rate...
Let's break down the problem step by step:
- Initially, the pool was 2/3 full.
- It was then filled at a constant rate for 5/3 hours until it reached 6/7 full.
To find the rate at which the pool is being filled, we can calculate the change in the fill level per hour.
Change in fill level = (6/7) - (2/3) = (18/21) - (14/21) = 4/21
This means that the pool is being filled at a rate of 4/21 per hour.
Now, we need to determine how much time it would take to completely fill the pool if it was empty to begin with. Since the rate of filling is 4/21 per hour, we can set up the following equation:
(4/21) * time = 1 (since we want to fill the pool completely, which is equivalent to 1 whole unit)
Solving for time:
time = 1 / (4/21) = 21/4 = 5.25 hours
The time is given in hours, so we convert it to hours and minutes:
5.25 hours = 5 hours + 0.25 * 60 minutes = 5 hours + 15 minutes = 5 hours 15 minutes.
Therefore, the correct answer is A: 8 hours 45 minutes.
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A pool which was 2/3 full to begin with, was filled at a constant rate...
Understanding the Problem
To solve the problem, we need to determine the rate of filling the pool and how long it would take to fill it completely from empty.
Initial Conditions
- The pool starts at 2/3 full.
- After 5/3 hours, the pool is 6/7 full.
Finding the Volume Filled
- Volume filled = Final volume - Initial volume
- Final volume = 6/7
- Initial volume = 2/3
To find the volume filled in 5/3 hours:
- Convert both fractions to a common denominator:
- 2/3 = 14/21
- 6/7 = 18/21
- Volume filled = 18/21 - 14/21 = 4/21
Calculating the Rate
- The rate of filling = Volume filled / Time taken
- Rate = (4/21) / (5/3) = (4/21) * (3/5) = 12/105 = 4/35 of the pool per hour.
Finding Time to Fill from Empty
- The total volume of the pool is 1 (whole pool).
- From empty to full, it needs to fill 1 volume.
- Time required = Total volume / Rate = 1 / (4/35) = 35/4 hours = 8.75 hours.
Converting Time
- 0.75 hours = 0.75 * 60 minutes = 45 minutes.
- Therefore, 8.75 hours = 8 hours 45 minutes.
Final Answer
Thus, the time taken to completely fill the pool from empty is 8 hours 45 minutes, which corresponds to option 'A'.
To solve the problem, we need to determine the rate of filling the pool and how long it would take to fill it completely from empty.
Initial Conditions
- The pool starts at 2/3 full.
- After 5/3 hours, the pool is 6/7 full.
Finding the Volume Filled
- Volume filled = Final volume - Initial volume
- Final volume = 6/7
- Initial volume = 2/3
To find the volume filled in 5/3 hours:
- Convert both fractions to a common denominator:
- 2/3 = 14/21
- 6/7 = 18/21
- Volume filled = 18/21 - 14/21 = 4/21
Calculating the Rate
- The rate of filling = Volume filled / Time taken
- Rate = (4/21) / (5/3) = (4/21) * (3/5) = 12/105 = 4/35 of the pool per hour.
Finding Time to Fill from Empty
- The total volume of the pool is 1 (whole pool).
- From empty to full, it needs to fill 1 volume.
- Time required = Total volume / Rate = 1 / (4/35) = 35/4 hours = 8.75 hours.
Converting Time
- 0.75 hours = 0.75 * 60 minutes = 45 minutes.
- Therefore, 8.75 hours = 8 hours 45 minutes.
Final Answer
Thus, the time taken to completely fill the pool from empty is 8 hours 45 minutes, which corresponds to option 'A'.
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A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?a)8 hrs 45 mins.b)9 hrs.c)9 hrs 30 mins.d)11 hrs 40 mins.e)15 hrs 30 mins .Correct answer is option 'A'. Can you explain this answer?
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A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?a)8 hrs 45 mins.b)9 hrs.c)9 hrs 30 mins.d)11 hrs 40 mins.e)15 hrs 30 mins .Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?a)8 hrs 45 mins.b)9 hrs.c)9 hrs 30 mins.d)11 hrs 40 mins.e)15 hrs 30 mins .Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?a)8 hrs 45 mins.b)9 hrs.c)9 hrs 30 mins.d)11 hrs 40 mins.e)15 hrs 30 mins .Correct answer is option 'A'. Can you explain this answer?.
A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?a)8 hrs 45 mins.b)9 hrs.c)9 hrs 30 mins.d)11 hrs 40 mins.e)15 hrs 30 mins .Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?a)8 hrs 45 mins.b)9 hrs.c)9 hrs 30 mins.d)11 hrs 40 mins.e)15 hrs 30 mins .Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?a)8 hrs 45 mins.b)9 hrs.c)9 hrs 30 mins.d)11 hrs 40 mins.e)15 hrs 30 mins .Correct answer is option 'A'. Can you explain this answer?.
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