Question

Layna can paint a 350-square-foot room in 4 hours. It takes Bebe 7 hours to paint the same room. Which equation can be used to find t, the time it takes Layna and Bebe to paint the room together

Answer 1

he amount of work done by Layna every hour is 1/4 and that of Bebe is 1/7. These are all dependent on their rates to do the job alone. After working for t hours, they will accomplish 1 job. Thus, this is shown in the equation,
(1/7 + 1/4) x t = 1
Solving for t gives an answer of 2.55 hours.

Answer 2

`(t)/(4) +(t)/(7)=1`

Explanation:

Layna can paint a 350-square-foot room in 4 hours.

It takes Bebe 7 hours to paint the same room.

Let t be the total time taken by both to paint.

They are completing 1 job so the equation will be :

`(t)/(4) +(t)/(7)=1`

Further solving it we get;

`(7t+4t)/(28)=1`

`(11t)/(28)=1`

`11t=28`

t = 2.5 hours.