Question

select the correct answer.

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:

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

how long would it take the second pump, working alone, to fill the tank?

75 minutes
90 minutes
100 minutes
120 minutes

Explanation:

Set up the rational equation

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

Isolate the variable term

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

Solve for x

$$
LATEXBLOCK0
$$

Answer:

• (A) 75 minutes
• (B) 90 minutes
• (C) 100 minutes (Correct answer)
• (D) 120 minutes