SOLUTION: ryan can paint a room in 8 hours when working alone. if stephanie helps him, the total job takes 6 hours. how long does it take stephanie if she works alone
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Question 1008201: ryan can paint a room in 8 hours when working alone. if stephanie helps him, the total job takes 6 hours. how long does it take stephanie if she works alone
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let
x = time it takes for Ryan to do the job alone
y = time it takes for Stephanie to do the job alone
z = time it takes if they worked together
In this case,
x = 8
y = unknown
z = 6
x,y,z are time values in hours
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We'll use this formula
and solve for y
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Subtract 1/8 from both sides
Get the denominators equal to the LCD 24
Take the reciprocal of both sides
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It will take Stephanie 24 hours to do the job if she did the job alone.
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