suppose xitlali can paint 6 rooms in 12 hours and alicia takes eight hours. how long would it take the two painters together to paint the 6 rooms?
To find out how long it would take the two painters, Xitlali and Alicia, to paint the 6 rooms together, we need to determine their combined painting rate.
First, let's determine Xitlali's painting rate. We are given that Xitlali can paint 6 rooms in 12 hours. To find her painting rate per hour, we divide the total number of rooms painted by the number of hours:
Xitlali's painting rate = 6 rooms ÷ 12 hours = 0.5 rooms per hour.
Similarly, Alicia's painting rate can be determined by the information given. Alicia takes 8 hours to paint 6 rooms:
Alicia's painting rate = 6 rooms ÷ 8 hours = 0.75 rooms per hour.
To find their combined painting rate, we simply add their individual painting rates together:
Combined painting rate = Xitlali's painting rate + Alicia's painting rate
= 0.5 rooms per hour + 0.75 rooms per hour
= 1.25 rooms per hour.
Therefore, Xitlali and Alicia can paint a combined rate of 1.25 rooms per hour.
Now, to determine how long it would take them to paint the 6 rooms together, we need to divide the total number of rooms by their combined painting rate:
Time taken to paint 6 rooms = Total number of rooms ÷ Combined painting rate
= 6 rooms ÷ 1.25 rooms per hour
= 4.8 hours.
So, it would take Xitlali and Alicia approximately 4.8 hours to paint the 6 rooms together.