Homework Help: Algebra

Posted by Jessica on Wednesday, October 3, 2012 at 7:39pm.

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

Algebra - Reiny, Wednesday, October 3, 2012 at 7:53pm
Logans rate = 1/x
Samantha's rate = 3/x
combined rate = 1/x + 3/x = 4/x

1/(4/x) = 45
x/4 = 45
x = 180

time for Logan alone = 1/(1/180) = 180 minutes
time for Samantha alone = 1/(3/18) = 60 minutes

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