SOLUTION: One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together? If x represent

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together? If x represent      Log On


   



Question 1032863: One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together?
If x represents how many minutes to do the job together, then how much of the job does the slowest person do?

Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together?
One person's rate:: 1/10 job/hr
Other person's rate:: 1/15 job/hr
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Together rate:: 1/x job/hr
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If x represents how many minutes to do the job together, then how much of the job does the slowest person do?
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Equation:
rate + rate = together rate
1/10 + 1/15 = 1/x
15x + 10x = 10*15
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25x = 150
x = 6 minutes (time to do the job together)
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Cheers,
Stan H.
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Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together?
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A wide variety of similar introductory joint-work problems were solved for you with detailed explanations in these lessons

    - Using Fractions to solve word problems on joint work,
    - Solving more complicated word problems on joint work,
    - Selected joint-work word problems from the archive