SOLUTION: Sally can paint a room in 3 hours while it takes Steve 8 hours to paint the same room. How long would it take them to paint the room if they worked together?

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Question 379032: Sally can paint a room in 3 hours while it takes Steve 8 hours to paint the same room. How long would it take them to paint the room if they worked together?
Found 3 solutions by ewatrrr, richard1234, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Sally can paint a room in 3 hours while it takes Steve 8 hours

Let x represent the time it takes together. Per hour the Equalizer

 1/3hr + 1/8hr = 1/x  Multiplying each term by 24x so as all denominators = 1

8x + 3x = 24

11x = 24

x = 2.18 hrs, the time it takes them together

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
In one hour, Sally can paint 1/3 of a room and Steve can paint 1/8 of a room. Together, they paint 1/3 + 1/8 = 11/24 of the room in one hour. Therefore, it would take 24/11 hours (approx. 2.18 hours) to paint the entire room.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sally can paint a room in 3 hours while it takes Steve 8 hours to paint the same room. How long would it take them to paint the room if they worked together?
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Sally rate = 1/3 job/hr
Steve rate = 1/8 job/hr
Together rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/3 + 1/8 = 1/x
8x + 3x = 24
11x = 24
x = 24/11 = 2 2/11 hrs
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together time = 2 hr + (2/11)*60 min = 2 hr 10.9 min
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Cheers,
Stan H.
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