sally can paint a room in 6 hours and it takes steve 8 hours to paint the same room. how long would it take them to paint the room if they work together

Question

it takes 6 hours for sally to paint a room

it takes 8 hours for steve to paint a room 

how long will it take them to paint a room if they work together

Answer 1

(1/6)(x)+(1/8)(x)=1

multiply both sides by 24

24(1/6)(x)+24(1/8)(x)=24

4x+3x=24

7x=24

x=24/7

x=3 3/7 hours together