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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If Samantha and Logan can do their paper route together in 45min,how many hours would it take each of them to do it alone, given that Samantha is 3 times as fast as Logan?       Log On


   

Question 727113:
If Samantha and Logan can do their paper route together in 45min,how many hours would it take each of them to do it alone, given that Samantha is 3 times as fast as Logan?

RATE TIME WORK DONE
Samantha
Logan
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
1/x+1/3x=1/.75
(3+x)/3x=1/.75 cross multiply.
3x=(3+x).75
3x=2.25+.75x
3x-.75x=2.25
2.25x=2.25
x=1 hour for Samantha
3*1=3 hours for Logan
Proof:
1/1+1/3=1/.75
(3+1)/3=1/.75
4/3=1/.75
3=4*.75
3=3
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RATE TIME WORK DONE
Samantha = 1 Hour.
Logan = 3 Hours.