SOLUTION: A machine could wrap candies 100 times faster than a person could. Together they can wrap a crate full of candies in 5 minutes. How long would it take each of them working alone?

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Question 712574: A machine could wrap candies 100 times faster than a person could. Together they can wrap a crate full of candies in 5 minutes. How long would it take each of them working alone?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A machine could wrap candies 100 times faster than a person could.
Together they can wrap a crate full of candies in 5 minutes.
How long would it take each of them working alone?
:
Let the completed job = 1. (a full crate)
:
Let t = time required by the machine to do the job (in minutes)
then
100t = time required by the person alone
:
Write a shared work equation
5%2Ft + 5%2F%28100t%29 = 1
multiply by 100t, results:
100(5) + 5 = 100t
505 = 100t
t = 505%2F100
t = 5.05 minutes machine working alone
then
5.05 * 100 = 505 minutes, person working alone