SOLUTION: Naomi can harvest wheat in 72 hours. Her cousin offers to help her, he can harvest his wheat in 48 hours. How long would it take if they work together.

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Question 1077669: Naomi can harvest wheat in 72 hours. Her cousin offers to help her, he can harvest his wheat in 48 hours. How long would it take if they work together.
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
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Naomi makes 1%2F72 of the work per hour.

Her cousin makes 1%2F48 of the work per hour.

Working together, they make 1%2F72+%2B+1%2F48 = %281%2F24%29%2A%281%2F3+%2B+1%2F2%29 = %281%2F24%29%2A%285%2F6%29 = 5%2F144 of the job per hour.

Hence, it will take 144%2F5 = 28 hours and 48 minute to complete the job working together.


For a wide variety of similar solved joint-work problems with detailed explanations 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
in this site.

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".