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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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Step-by-step explanation:

Let the amount of hours it takes Leroy to catch up to Kevin equal x. Since speed multiplied by time is distance, Leroy would have run a total of 6x miles(6*x). Kevin already had a head start of 24 minutes, which is the same as 2/5 of an hour. In 2/5 an hour, Kevin ran 2 miles as 2 is 2/5 *5. For the next x hours his distance would be a total of 5x(5*x). This means, after x hours, Kevins distance is 5x + 2. In this case, catching up to someone is the same as having the same distance value. This means we can set the two expressions equal to each other, and solve:

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The time it took Leroy to catch up is 2 hours, but we are looking for the distance, which is represented by 6x. We substitute in 2 to get:

6(2) = 12

This means Leroy had to run 12 miles.

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