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When Sandy and Allen’s mother decorates the house for a holiday by herself, it takes her 5 hours. When both Sandy and Allen help, the three
Question
When Sandy and Allen’s mother decorates the house for a holiday by herself, it takes her 5 hours. When both Sandy and Allen help, the three can finish the job in 2.5 hours. When only Allen helps his mother decorate, it takes the two 3.5 hours. How long would it take Sandy to decorate the house by herself?
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Mathematics
6 months
2021-07-21T02:08:44+00:00
2021-07-21T02:08:44+00:00 2 Answers
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Answers ( )
Answer:
8 3/4
Step-by-step explanation:
time for all work:
Mother – 5 hours
Mother + Sandy + Allen – 2.5 hours
Mother + Allen – 3.5 hours
Sandy – x
In 1 hour
Mother – 1/5
Mother + Sandy + Allen – 2/5
Mother + Allen – 2/7
Sandy – 1/x
(M+S+A) – S = (M+A)
2/5 – 1/x = 2/7
solve equation
x = 8 3/4 hours
Hope this helps 🙂
Answer:
5 hours
Step-by-step explanation: