SOLUTION: By himself, Tim can complete his paper route in 160 minutes. With the help of Sue it takes 100 minutes. How many minutes would it take Sue to do the route by herself?

Question 490963: By himself, Tim can complete his paper route in 160 minutes. With the help of Sue it takes 100 minutes. How many minutes would it take Sue to do the route by herself?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
By himself, Tim can complete his paper route in 160 minutes. With the help of Sue it takes 100 minutes.
How many minutes would it take Sue to do the route
:
Let s = S's time to do the job alone
let the completed job = 1 (all papers delivered)
:
Each will do a fraction of the job. the two fractions add up to 1
:
+ = 1
multiply by 160s, results
100s + 160(100) = 160s
16000 = 160s - 100s
16000 = 60s
s =
s = 266 min for S to do it alone
:
:
Check this
100/160 + 100/266.67 =
.625 + .375 = 1
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