SOLUTION: If Samantha and Logan can do their paper route together in 45 min, how many hours would it take each of them to do it alone, given Samantha is 3 times as fast as Logan?

Question 734235:
If Samantha and Logan can do their paper route together in 45 min, how many hours would it take each of them to do it alone, given Samantha is 3 times as fast as Logan?
Rate Time Work Done
Samantha ? ? ?
Logan ? ? ?
Thank you I have gotten this problem wrong on an Exam
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
1/x+1/3x=1/45
(3+1)/3x=1/45
4/3x=1/45 cross multiply.
3x=4*45
3x=180
x=180/3
x=60 minutes for Logan.
3*60=180 ans. for Samantha.
Proof:
1/60+1/180=1/45
(3*1+1*1)/180=1/45
(3+1)/180=1/45
4/180=1/45
180=4*45
180=180

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