Question

Tim can paint a room in 6 hours. Ben can paint the same room in 4 hours. How many hours would it take Tim and Ben to paint the room while working together?

Answer 1

Answer:

2.4

Step-by-step explanation:

In one hour, Tim paints 1/6 and 1/4 for Ben. for the total hours they painted together 1/6x+1/4x because x=hrs and 1/6x + 1/4x = 100% is how many hrs they did in all. 100%=1

1/6x+1/4x=1

4/24x+6/24x=1

10/24x=1

5/12x=1

multiply y 12/5 both sides 5/12 canceled and u get 12/5 or 2.4 hrs.

Answer 2

• Number of hours it takes Tim to paint a room = 6  hours

• Number of hours it takes Ben to paint the same room  = 4 hours

• The total number of hours it would take Tim and Ben to paint the same room together  is calculated as:

$\frac{1}{T} = \frac{1}{6} + \frac{1}{4}$

$\frac{1}{T} = \frac{5}{12}$

$T = \frac{12}{5}$

$T = 2\frac{2}{5} hours$

Therefore, it would take $2\frac{2}{5} hours$ for Tim and Ben to paint the room while working together

To learn more, visit the link below:

https://brainly.com/question/10266489