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Olga’s swimming pool has three pipes connected to it. If the
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13 Aug 2020, 01:46
13 Aug 2020, 01:46
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Olga’s swimming pool has three pipes connected to it. If the pool is empty, pipe A can fill it in 3 hours and pipe B can fill it in 4 hours. If the pool is at capacity, pipe C can empty it in 2 hours. The capacity of Olga’s pool is 2,400 cubic meters. If all three pipes are activated when the pool is empty, how many hours will it take for the pool to be filled to 60 percent of capacity?
A. 7.0
B. 7.2
C. 8.0
D. 8.6
E. 12.0
KUDOS for the right solution and explanation
A. 7.0
B. 7.2
C. 8.0
D. 8.6
E. 12.0
KUDOS for the right solution and explanation
Re: Olga’s swimming pool has three pipes connected to it. If the
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13 Sep 2020, 05:18
13 Sep 2020, 05:18
4
Carcass wrote:
Olga’s swimming pool has three pipes connected to it. If the pool is empty, pipe A can fill it in 3 hours and pipe B can fill it in 4 hours. If the pool is at capacity, pipe C can empty it in 2 hours. The capacity of Olga’s pool is 2,400 cubic meters. If all three pipes are activated when the pool is empty, how many hours will it take for the pool to be filled to 60 percent of capacity?
A. 7.0
B. 7.2
C. 8.0
D. 8.6
E. 12.0
KUDOS for the right solution and explanation
A. 7.0
B. 7.2
C. 8.0
D. 8.6
E. 12.0
KUDOS for the right solution and explanation
*** If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours , then on opening both the pipes,
the net part filled in 1 hour = \({\frac{1}{x} - \frac{1}{y} }\) .
Here,
First calculate, how much time it would take to fill the tank to full capacity
We know,
Work = Rate * Time
1 = \((\frac{1}{3} + \frac{1}{4 }- \frac{1}{2})\) * Time
or Time taken to fill the tank = 12 hours
Now, in 12 hours with pipes A, B and C open it can fill 2400 cubic meters
Therefore, to fill up 60% i.e 1440 cubic meters, as per given criteria, it will take = \(\frac{12}{2400} * 1440 = 7.2\) hours
Re: Olgas swimming pool has three pipes connected to it. If the
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12 Aug 2022, 15:40
12 Aug 2022, 15:40
2
PIPE A : 2400/3 = 800 cubic meters/hour (in)
PIPE B : 2400/4 = 600 cubic meters/hour (in)
PIPE C: 2400/2 = 1200 cubic meters/hour (out)
2400 * 60% = 1440
800+600-1200 = 200
1440/200 = 7.2 hours
Answer B
PIPE B : 2400/4 = 600 cubic meters/hour (in)
PIPE C: 2400/2 = 1200 cubic meters/hour (out)
2400 * 60% = 1440
800+600-1200 = 200
1440/200 = 7.2 hours
Answer B
