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When two pumps are used, they can fill a tank in 60 minutes. When the first pump is used alone, the tank will be filled in 150 minutes. When x represents the time it takes the second pump to fill the tank when used alone, the situation is represented by this equation: 15 += How long would it take the second pump, working alone, to fill the tank? . OA 75 minutes B. 90 minutes Ос. 100 minutes OD 120 minutes​

Sagot :

Using the together rate, it is found that the time it would take the second pump, working alone, to fill the tank is:

B. 90 minutes

The together rate is the sum of each separate rate.

In this problem:

  • The together rate is of 1/60.
  • The first rate is of 1/150.
  • The second rate is of 1/x.

Then:

[tex]\frac{1}{150} + \frac{1}{x} = \frac{1}{60}[/tex]

[tex]\frac{x + 150}{150x} = \frac{1}{60}[/tex]

Applying cross multiplication:

[tex]150x = 50x + 9000[/tex]

[tex]100x = 9000[/tex]

[tex]x = \frac{9000}{100}[/tex]

[tex]x = 90[/tex]

Hence, it would take 90 minutes for the second pump, working alone, to fill the tank.

A similar problem is given at https://brainly.com/question/25159431

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