How long will it take to fill the tank?

Pipe A fills a tank in 12 minutes. Pipe B fills the tank in 8 minutes. Pipe C fills the tank in 6 minutes. How long will it take to fill the tank if all three pipes are turned on?

Answer: Pipe A fills 1/12 of a tank in one minute. Pipe B fills 1/8 of a tank in one minute. Pipe C fills 1/6 of a tank in one minute. The three pipes together would fill 1/6 + 1/8 + 1/12 of a tank, i..e., 9/24 of a tank in one minute. Therefore, it would take 24/9 minutes, i.e., 2 minutes and 2/3 of a minute, i.e., 2 minutes and 40 seconds.

6 thoughts on “How long will it take to fill the tank?”

  1. Caleb, pipe A fills 1/12 of a tank in a minute, pipe B fills 1/8 and pipe C 1/6 of a tank per minute. Together they will 9/24 of a tank in one minute. How many minutes to fill a single tank if all pipes are turned on?

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