SOLUTION: if john can paint a room in 2 hours while peter takes 6 hours . how long will it take both of them to paint the same room?

Algebra ->  Test -> SOLUTION: if john can paint a room in 2 hours while peter takes 6 hours . how long will it take both of them to paint the same room?      Log On


   

Question 900392: if john can paint a room in 2 hours while peter takes 6 hours . how long will it take both of them to paint the same room?
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

1%2F2+%2B+1%2F6+=+1%2Fx  |Multiplying thru by 6x so as all denominators = 1

 3x + x = 6

 4x = 6

  x = 6/4  0r 1 1/2 hr

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a=2
b=6
1/a+1/b=1/x
1/2+1/6=1/x
1/2+1/6=1/1.5
1/x=1/1.5
x=1.5 hours working together
check
1/a+1/b=1/x
1/2+1/6=1/x
6/12+2/12=1/x
8/12=1/x
12/8=x
x=1.5
ok