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____ [38]
3 years ago
13

The cold water faucet of a bathtub can fill the tub in 15 minutes. The drain, when opened, can empty the full tub in 20 minutes.

Suppose the tub is empty and the faucet and drain are both opened at the same time. How long will it take to fill the tub?
Mathematics
2 answers:
masya89 [10]3 years ago
8 0

Answer:

60 minutes

Step-by-step explanation:

  • faucet takes 15 minutes to fill the tub, so how much of the full tub is added per minute?
  • 15 minutes=1added/minute\\1minute=\frac{1}{15} added/minute
  • drain takes 20 minutes to empty the tub so how much of the full tub is lost per minute?
  • 20minutes=1lost/minute\\1minute=\frac{1}{20} lost/minute
  • How long it takes to fill the tub can be found by how much of it is added per minute minus lost per minute
  • totalfilled/minute=added/minute-lost/minute\\=\frac{1}{15} -\frac{1}{20}=\frac{1}{60}
  • So one sixtieth of the tub is filled a minute, so that 60 parts of the tub, each taking a minute, that's 60 minutes or 1 hour
pentagon [3]3 years ago
5 0

Answer:

10 minutes

Step-by-step explanation:

This is because if u have both the faucet and drain on at the same time, it will fill the tub faster

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Explanation:

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Answer: The correct option is triangle GDC

Step-by-step explanation: Please refer to the picture attached for further details.

The dimensions give for the cube are such that the top surface has vertices GBCF while the bottom surface has vertices HADE.

A right angle can be formed in quite a number of ways since the cube has right angles on all six surfaces. However the question states that the diagonal that forms the right angle runs "through the interior."

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6 0
3 years ago
Read 2 more answers
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