SOLUTION: kipketer can cultivate a piece of land in 7hours while Wanjiku can do the same work in 5hours.Find the time they would take to cultivate the same piece of land when working togethe

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: kipketer can cultivate a piece of land in 7hours while Wanjiku can do the same work in 5hours.Find the time they would take to cultivate the same piece of land when working togethe      Log On


   



Question 1107344: kipketer can cultivate a piece of land in 7hours while Wanjiku can do the same work in 5hours.Find the time they would take to cultivate the same piece of land when working together
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
K makes  1%2F7  of the job per hour.


W makes  1%2F5  of the job per hour.


Working together, they make  1%2F7 + 1%2F5  of the job per hour.


1%2F7 + 1%2F5 = 5%2F35 + 7%2F35 = 12%2F35.


Thus working together they make  12%2F35  of the job per hour.


It means they need  35%2F12 hours = 35*5 minutes = 175 minutes = 2 hours and 55 minutes to complete the job working together.


Answer.  2 hours and 55 minutes.

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.