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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 :

1/6+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

AL2006

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.


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