Final answer:
Alexia and Keyla will take approximately 2.4 hours to clean the house together.
Step-by-step explanation:
To determine how long it will take Alexia and Keyla to clean the house together, we need to find their combined cleaning rate. Alexia can clean the house in 4 hours, which means she can clean 1/4 of the house per hour. Keyla can clean the house in 6 hours, which means she can clean 1/6 of the house per hour. To find their combined rate, we add their individual rates: 1/4 + 1/6 = 5/12. This means that together they can clean 5/12 of the house per hour.
To find out how long it will take them to clean the entire house, we can divide the total work (1 house) by their combined rate (5/12 house per hour). This can be simplified as 12/5 hours, which is equal to 2.4 hours. Therefore, it will take Alexia and Keyla approximately 2.4 hours to clean the house together.