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SSSSS [86.1K]
3 years ago
13

one maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How l

ong would it take the faster maid cleaning alone?
Mathematics
1 answer:
12345 [234]3 years ago
7 0
<span>Faster maid DATA:
time = x hr/job ; rate = 1/x job/jhr
Slower maid DATA:
time = 3x hr/job ; rate = 1/3x job/hr
Together DATA:
time = 3 hr/job ; rate = 1/3 job/hr
Equation:
rate + rate = together rate
1/x + 1/3x = 1/3
Multiply thru by 3x to get:
3 + 1 = x
x = 4 hrs (time for the faster maid to do the job)</span>
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Answer: \sqrt{37}

=====================================

Work Shown:

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