Question

Robert can paint a room in 6 hours. Julio can paint a room in 8 hours.how long will it take for the two of them to paint a room together?

Answer 1

1/6+1/8=1/x
1/6*(6*8*x)+1/8(6*8*x)=1/x(6*8*x)
8x+6x=48
14x=48
divide each by 14
x=48/14
x= 3.43 roughly

Answer 2

Robert paints 1/6 of a room in an hour.
Julio paints 1/8 of a room in an hour.
Working together, they can paint (1/6 + 1/8) room/hour =

(4/24 + 3/24) room/hour =

7/24 of a room per hour.

7/24 of a room per hour means

24 hours / 7 rooms =

(24 / 7) (hour/room) = (3 and 3/7) hour per room.