SOLUTION: [ Amy can clean the house twice as fast as Thomas. Together they can clean the house in 6 hours. How long would it take each of them working alone to clean the house ? ]
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-> SOLUTION: [ Amy can clean the house twice as fast as Thomas. Together they can clean the house in 6 hours. How long would it take each of them working alone to clean the house ? ]
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Question 824068: [ Amy can clean the house twice as fast as Thomas. Together they can clean the house in 6 hours. How long would it take each of them working alone to clean the house ? ]
You can put this solution on YOUR website! ---
t = tom's time to clean
t/2 = amy's time to clean
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individual rates:
rate = jobs/time
tom = 1/t
amy = 1/(t/2) = 2/t
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together rate:
r = 1/t + 2/t
r = 3/t
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time/job = 1/r
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together time:
1/r = t/3
t/3 = 6 (given)
t = 18 (tom's time to clean)
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individual times:
tom = t = 18 hours
amy = t/2 = 9 hours
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answer:
amy alone takes 9 hours to clean the house
tom alone takes 18 hours to clean the house
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