SOLUTION: Julianne and Angel are having a party. It would take Angel 6 hours to call everyone she wants to invite. If Julianne helps, it will take only 4 hours. How long woule it take onl

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Julianne and Angel are having a party. It would take Angel 6 hours to call everyone she wants to invite. If Julianne helps, it will take only 4 hours. How long woule it take onl      Log On


   



Question 119789: Julianne and Angel are having a party. It would take Angel 6 hours to call everyone she wants to invite. If Julianne helps, it will take only 4 hours. How long woule it take only Julianne to invite everyone?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Julianne and Angel are having a party. It would take Angel 6 hours to call everyone she wants to invite. If Julianne helps, it will take only 4 hours. How long woule it take only Julianne to invite everyone?
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Angel DATA:
Time = 6 hrs./job : Rate = 1/6 job/hr
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Together DATA:
Time = 4 hrs/job ; Rate = 1/4 job/hr
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Julianne DATA:
Time = x hrs/job ; Rate = 1/x job/hr
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EQUATION:
rate = rate = together rate
1/6 + 1/x = 1/4
Multiply thru by 12x to get:
2x + 12 = 3x
x = 12 (# of hrs. it would take Julianne alone)
Cheers,
Stan H.