SOLUTION: At 10am Danny is asked by his father to weed the garden. From past experience, Danny knows that this will take him 4 hours, working alone. His older brother Mike, when it is his tu

Algebra ->  Expressions-with-variables -> SOLUTION: At 10am Danny is asked by his father to weed the garden. From past experience, Danny knows that this will take him 4 hours, working alone. His older brother Mike, when it is his tu      Log On


   



Question 1160618: At 10am Danny is asked by his father to weed the garden. From past experience, Danny knows that this will take him 4 hours, working alone. His older brother Mike, when it is his turn to do this job, requires 6 hours. Since Mike wants to go golfing with Danny and has a reservation for 1 pm, he agrees to help Danny. Assuming no gain or loss of efficiency, when will they finish if they worked together? Can they make the golf date?
Answer by ikleyn(52771) About Me  (Show Source):
You can put this solution on YOUR website!
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Danny's rate of work is  1%2F4  of the job per hour.


Mike's rate of work is  1%2F6  of the job per hour.


Their combined rate of work is  1%2F4 + 1%2F6 = 3%2F12 + 2%2F12 = 5%2F12  of the job per hour.


It means that they will complete a job  in  12%2F5 hours = 2 and 2%2F5 hours = 2 hours and 24 minutes.


So, if they start at 10 am, they will complete the job at 24 minutes after noon.

Solved.

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It is a standard and typical joint work problem.

There is a wide variety of similar solved joint-work problems with detailed explanations in this site.  See introductory 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".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.