SOLUTION: a window washer can wash the windows on one side of a building in 112 working hours.with an assistant he can do the job in 63 hours.how many hours would the assistant need to do th

Algebra ->  Rate-of-work-word-problems -> SOLUTION: a window washer can wash the windows on one side of a building in 112 working hours.with an assistant he can do the job in 63 hours.how many hours would the assistant need to do th      Log On


   



Question 548504: a window washer can wash the windows on one side of a building in 112 working hours.with an assistant he can do the job in 63 hours.how many hours would the assistant need to do the job alone
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a window washer can wash the windows on one side of a building in 112 working hours.with an assistant he can do the job in 63 hours.how many hours would the assistant need to do the job alone
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washer rate = 1/112 job/hr
assist rate = 1/x job/hr
together rate = 1/63 job/hr
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Equation:
rate + rate = together rate
1/112 + 1/x = 1/63
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63x + 63*112 = 112x
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49x = 63*112
x = 144 hrs (time for the asst to do the job alone)
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Cheers,
Stan H.