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Pipe A can fill a tank in 3 hours. If pipe B can fill the sa
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10 Mar 2019, 10:32
10 Mar 2019, 10:32
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Question Stats:
81% (01:08) correct
18% (01:38) wrong based on 53 sessions
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Pipe A can fill a tank in 3 hours. If pipe B can fill the same tank in 2 hours, how many minutes will it take both pipes to fill \(\frac{2}{3}\) of the tank?
A. 30
B. 48
C. 54
D. 60
E. 72
A. 30
B. 48
C. 54
D. 60
E. 72
Re: Pipe A can fill a tank in 3 hours. If pipe B can fill the sa
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17 Mar 2019, 17:37
17 Mar 2019, 17:37
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Pipe A can fill \(\frac{1}{3}\) of a tank in 1 hour. Pipe B can fill \(\frac{1}{2}\) of a tank in 1 hour.
Together, they can fill \(\frac{1}{3} + \frac{1}{2} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6}\) of a tank in 1 hour.
Each minute, they'll fill \(\frac{1}{60}\) of what they can fill in an hour. So together, they can fill \(\frac{5}{360}\) of the tank in 1 minute.
How long will it take them to fill \(\frac{2}{3}\) of the tank? Algebraically:
\(\frac{5}{360}x = \frac{2}{3}\)
\(x = \frac{2}{3} \times \frac{360}{5} = \frac{240}{5} = 48\)
Together, they can fill \(\frac{1}{3} + \frac{1}{2} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6}\) of a tank in 1 hour.
Each minute, they'll fill \(\frac{1}{60}\) of what they can fill in an hour. So together, they can fill \(\frac{5}{360}\) of the tank in 1 minute.
How long will it take them to fill \(\frac{2}{3}\) of the tank? Algebraically:
\(\frac{5}{360}x = \frac{2}{3}\)
\(x = \frac{2}{3} \times \frac{360}{5} = \frac{240}{5} = 48\)
Re: Pipe A can fill a tank in 3 hours. If pipe B can fill the sa
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05 Sep 2021, 10:06
05 Sep 2021, 10:06
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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