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A tap is filling a 10-liters tank at the speed of 5 liters per minute.

A hole locates at the bottom of the tank which leaks water at
the speed of 1 liter per minute. It takes — minutes to fill the
tank.

User Jackotonye
by
5.5k points

1 Answer

4 votes

Answer:

  • It takes 2.5 minutes to fill the tank.

Step-by-step explanation:

The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:

  • Net rate = rate of filling - rate of leaking
  • Net rate = 5 liters/minute - 1 liter/minute
  • Net rate = 4 liters/minute

Thus, consiedering the tank is empty at the beginning, the time is:

  • Time = Volume of the tank / net rate of filling
  • Time = 10 liters / (4liters/minute)
  • Time = 2.5 minutes ← answer
User MyNewName
by
4.9k points