<PRE><B>Question 712574</B>
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/t}}} + {{{5/(100t)}}} = 1
multiply by 100t, results:
100(5) + 5 = 100t
505 = 100t
t = {{{505/100}}}
t = 5.05 minutes machine working alone
then
5.05 * 100 = 505 minutes, person working alone
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