SOLUTION: A postal worker can sort a day's worth of mail in 8 hours. With her supervisor helping, it takes 3 hours. How long would it take the supervisor working alone?

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Question 1088683: A postal worker can sort a day's worth of mail in 8 hours. With her supervisor helping, it takes 3 hours. How long would it take the supervisor working alone?
Answer by ikleyn(52786) About Me  (Show Source):
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A postal worker can sort a day's worth of mail in 8 hours. With her supervisor helping, it takes 3 hours.
How long would it take the supervisor working alone?
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Since the worker and the supervisor can complete the work i n 3 hours, their combined rate of work is 1%2F3 of the work per hour.


The worker's individual rate of work is 1%2F8 of the work per hour.


Hence, the supervisor's rate of work is the difference 1%2F3+-+1%2F8 = 8%2F24+-+3%2F24 = 5%2F24 of the work per hour.


It means that the supervisor can complete the work in 1%2F%28%285%2F24%29%29 hours, which is equal to 24%2F5 = 44%2F5 hours = 4 hours and 48 minutes.

Answer. the supervisor can complete the work in 4 hours and 48 minutes, if he will work alone.


Solved.


It is a typical joint work problem.

There is a wide variety of similar solved joint-work problems with detailed explanations in this site.  See the lessons
    - Using Fractions to solve word problems on joint work
    - Solving more complicated word problems on joint work
    - Selected joint-work word problems from the archive


Read them and get be trained in solving joint-work problems.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic
"Rate of work and joint work problems" of the section "Word problems".