SOLUTION: Tina can paint a fence in 8 hours. Tom can paint the same fence in 4 hours. How long will it take them to paint the fence if they work together?

Question 754822: Tina can paint a fence in 8 hours. Tom can paint the same fence in 4 hours. How long will it take them to paint the fence if they work together?
Found 2 solutions by sachi, Cromlix:
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
Tina can paint a fence in 8 hours.
so Tina can paint 1/8 parts in 1 hr
Tom can paint the same fence in 4 hours.
so Tom can paint 1/4 parts in 1 hr
so both can paint 1/8+1/4=3/8 parts in 1 hr
so the total time taken by both to paint the fence=8/3hrs

Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Tina's rate = 1/8 job/hr
Tom's rate = 1/4 job/hr
Together the rate is 1/x job/hr
Equation: rate + rate = together rate
1/8 + 1/4 = 1/x
Common denominator = 8x
x + 2x = 8
3x = 8
x = 8/3 or 2 2/3 hrs
Therefore they can do the job together in
2 hours 40 minutes.
Hope this helps
:-)
RELATED QUESTIONS
Bob and Sarah need to paint a fence. Bob can paint a fence in 4 hours and Sarah can paint (answered by josgarithmetic,addingup,greenestamps)
tom can paint a fence in 8 hours. Huck can paint the same fence in 5 hours. How long... (answered by josmiceli)
it takes Mark five hours to paint a fence. Abharsa can paint the same fence in nine... (answered by macston)
ryan can paint a fence in ten hours. asanji can paint the same fence in eight hours. if... (answered by nerdybill)
if sarah can pain a fence in 4 hours and tim can paint the same fence in 8 hours how much (answered by nerdybill)
Tom paints a fence in 4 hours.Huck paints the fence in 6 hours. How long does it take for (answered by josgarithmetic,ikleyn)
If Sally can paint a fence by herself in 6 hours and Sally and Linus together can paint... (answered by richwmiller)
It takes Dave 20 hours to paint a fence. When he works with Mike, they can paint the same (answered by Alan3354,jim_thompson5910)
tim can paint a fence in 8 hours. Sarah can paint the same fence in 4 hours. How long... (answered by stanbon)