Question
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?
Answers
Reiny
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
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