Question

Sal can paint a room in 6 hours while it takes Steve 5 hours. How long would it take them to paint the room together?

Answer 1

\[\frac{1}{6}+\frac{1}{5}=\frac{1}{x}\]

Answer 2

x = 30/11

Answer 3

\[(\frac{1}{6}+\frac{1}{5})t=1\]

\[\frac{11}{30}t=1\]
\[t=\frac{30}{11}\]

Answer 4

clear or not?

Answer 5

i'm looking for a number of hours I think?

Answer 6

trick is to make the job 1 for "one whole job"

Answer 7

then just add the rates. one does 1/5 per hour, other does 1/6 per hour so combined they do
\[\frac{1}{5}+\frac{1}{6}=\frac{11}{30}\] per hour. that is their combined rate

Answer 8

you want the whole job done so set
\[\frac{11}{30}t=1\] where t is time and get
\[t=\frac{30}{11}\]

Answer 9

okay, okay... yes that is the right answer!! I was confused. thnx!!

Answer 10

if you don't like the form of the answer you could write
\[2\tfrac{8}{11}\] hours

Answer 11

yw