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​


  1. Answer:
      48 minutes
    Step-by-step explanation:
    The rate of filling from both pipes is the sum of the rates in units of tanks per hour. We want the time for 2/3 of a tank.

    Sum of rates

    The sum of the filling rates is …
      rate A + rate B = (1/3) tank/hour + (1/2) tank/hour = 5/6 tank/hour

    Fill time

    The time to fill a tank or part thereof will be the number of tanks divided by the rate in tanks per hour:
      time = (2/3 tank)/(5/6 tank/hour) = ((4/6)/(5/6)) hour = 4/5 hour
    There are 60 minutes in an hour, so the fill time is …
      (4/5 hour)×(60 min/hour) = 48 min
    It will take 48 minutes for both pipes to fill 2/3 of the tank.


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