SOLUTION: A baker can decorate the day's cookie supply four times as fast as his new assistant. If they decorate all the cookies working together in 20 minutes, how long would it take for e

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Question 83760: A baker can decorate the day's cookie supply four times as fast as his new assistant. If they decorate all the cookies working together in 20 minutes, how long would it take for each of them to decorate the cookies working individually?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A baker can decorate the day's cookie supply four times as fast as his new assistant. If they decorate all the cookies working together in 20 minutes, how long would it take for each of them to decorate the cookies working individually?
:
Let t = time for the baker to complete the job
Then 4t = time for the assistant to do the job
:
Let the completed job = 1
:
20%2Ft + 20%2F%284t%29 = 1
:
Multiply equation by 4t to get rid of the denominators
4(20) + 20 = 4t
80 + 20 = 4t
4t = 100
t = 100/4
t = 25 min the baker by himself
Then
4(25) = 100 min, the assistant by himself
:
Check solutions:
20/25 + 20/100 =
80/100 + 20/100 = 1