Question

One pipe can fill a tank in 20 minutes, while another takes 30 minutes to fill the same tank. How long would it take the two pipes together to fill the tank? Select one: A. 25 minutes B. 12 minutes C. 50 minutes D. 15 minutes

Answer 1

Answer:

Given:

• One pipe can fill a tank in 20 minutes, while another takes 30 minutes to fill the same tank.

Find:

• How long would it take the two pipes together to fill the tank?

Calculations:

⋆ $\bold{Pipe \: 1 = 20 \: min}$

⋆ $\bold{Pipe \: 2 = 30 \: min}$

THAT'S:

⇒ $\bold{\dfrac{1}{20}}$

⇒ $\bold{\dfrac{1}{30}}$

Comparing both the pipes:

⇒ $\bold{\dfrac{1}{20} + \dfrac{1}{30}}$

⇒ $\bold{\dfrac{3}{60} + \dfrac{2}{60}}$

⇒ $\bold{\dfrac{5}{60}}$

⇒ $\bold{\cancel{\dfrac{1}{12}}}$

⇒ ${\sf{\underline{\boxed{\red{\sf{12}}}}}}$

Therefore, 12 minutes is the time taken if both pipes work together and Option B is the right answer.