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How long will it take them if they work together, yet independently ?

2006-10-09 01:52:25 · 7 answers · asked by Anonymous in Science & Mathematics Mathematics

7 answers

x/20 + x/30 = 1

(3x)/60 + (2x)/60 = 60/60

5x = 60

x = 12

2006-10-09 01:54:55 · answer #1 · answered by fcas80 7 · 0 0

I assume you mean, how long will it take to paint the same house together.

Bill paints the house in 20 hours;
→ 1/20 of the house is painted in one hour.

George paints the house in 30 hours;
→ 1/30 of the house is painted in one hour.

If they paint the house together then:
1/20 + 1/30 = 5/60
= 1/12 of the house will be painted in one hour.
→ 12 hours to paint the house.

2006-10-09 09:16:33 · answer #2 · answered by Brenmore 5 · 0 0

In one hour Bill will be able to paint
1/20th of the of the house where as
George will be able to paint 1/30th
Together in one hour they will be
able to paint
1/20+1/30=50/600=1/12 0f the house
If 1/12 of the house takes them 1 hour
Complete house will take them 12 hours

2006-10-09 09:34:27 · answer #3 · answered by openpsychy 6 · 0 0

Hypothetically speaking, it would take them 12 hours to paint the house together, assuming the house in point is the same and other variables are consistant. But considering our painters at point, I would say 24 hours because they are most likely going to redo it.

2006-10-09 08:57:31 · answer #4 · answered by Yahoo Medic 5 · 0 1

Too many variables! Are they painting two different sized houses? Is George just slower? How much slower will George be if he sees someone else doing the work? Do either of them have any appointments that day? ETC......

2006-10-09 08:56:57 · answer #5 · answered by Anonymous · 0 1

Depends if they use a spray gun or brush

2006-10-09 08:54:24 · answer #6 · answered by Anonymous · 0 1

WAIT

2006-10-09 09:01:04 · answer #7 · answered by oneblondepilgrim 6 · 0 2

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