Question

It takes Person 1 50 minutes to clean a house entirely by himself. When persons 1 and 2 work together to clean the house, they can do so in 20 minutes. How long does it take for Person 2 to clean the house entirely by himself?

Answer 1

Person 2 takes approximately 33.33 minutes to clean the house entirely by himself.

Step-by-step explanation:

Let's assume that it takes Person 2 x minutes to clean the house entirely by himself.

In 20 minutes, working together, Person 1 completes 1/50 of the house and Person 2 completes 1/x of the house.

Combining their efforts, they complete the entire house, which is equivalent to 1.

Therefore, the equation can be set up as: 1/50 + 1/x = 1.

To find x, we can solve for x in the equation: 1/50 + 1/x = 1.

By cross-multiplying and simplifying the equation, we get: x = 100/3 minutes.

Therefore, it takes Person 2 approximately 33.33 minutes to clean the house entirely by himself.