Question

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​

Answer 1

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:

$\frac{1}{150} + \frac{1}{x} = \frac{1}{60}$

$\frac{x + 150}{150x} = \frac{1}{60}$

Applying cross multiplication:

$150x = 50x + 9000$

$100x = 9000$

$x = \frac{9000}{100}$

$x = 90$

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

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