Question

Blake and Ned work for a home remodeling business. They are putting the final touches on a home they renovated. Working alone, Blake can paint one room in 9 hours. Ned can paint the same room in 6 hours. How long will it take them to paint the room if they work together? (SHOW WORK)

Answer 1

Answer: 3.6 hours

Explanation:

Given : The time taken by Blake to paint the room :
`t_1=9\text{ hours}`

The time taken by Ned to paint the room :
`t_2=6\text{ hours}`

Then , the time taken (T) by both of them to paint the room if they work together is given by :-

`(1)/(T)=(1)/(t_1)+(1)/(t_2)\\\\\Rightarrow\ (1)/(T)=(1)/(9)+(1)/(6)\\\\\Rightarrow(1)/(T)=(5)/(18)\\\\\Rightarrow\ T=(18)/(5)=3.6\text{ hours}`

Hence, it will take 3.6 hours to the two companies if they working together .