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 $2/3$ of the tank?

Using the combined work rate formula, pipe A fills one third of the tank per hour and pipe B fills one half of the tank per hour. Adding these rates together gives five sixths of the tank per hour. To fill two thirds of the tank, divide two thirds by five sixths, which gives four fifths of an hour. Multiplying four fifths of an hour by sixty minutes results in 48 minutes.

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