SOLUTION: Jose can clear a lot in 1.5 hours. His partner can do the same job in 4.5 hours. How long will it take them to clear the lot working together?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Jose can clear a lot in 1.5 hours. His partner can do the same job in 4.5 hours. How long will it take them to clear the lot working together?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1103720: Jose can clear a lot in 1.5 hours. His partner can do the same job in 4.5 hours. How long will it take them to clear the lot working together?
Answer by ikleyn(52748) About Me  (Show Source):
You can put this solution on YOUR website!
.
Jose makes  1%2F1.5  of the job per hour. It is his rate of work.


The partner makes  1%2F4.5  of the job per hour. It is his rate of work.


Working together, they make   1%2F1.5 + 1%2F4.5 = 3%2F4.5 + 1%2F4.5 = 4%2F4.5 = 8%2F9 job per hour.


Hence, it will take  9%2F8 hours = 1 hour and 7.5 minutes for them to complete the job working together.

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".


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.