SOLUTION: Ker can do a job in 6 hours. If he requests Kan to work with him, the two can do the job in 3 hrs. How long will it take Kan to do the job alone?

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Question 1145985: Ker can do a job in 6 hours. If he requests Kan to work with him, the two can do the job in 3 hrs. How long will it take Kan to do the job alone?
Found 3 solutions by richwmiller, josgarithmetic, ikleyn:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
3/6 is Ker's part in 3 hours
We see immediately that is 1/2
so Kan must be working at the same rate. which is 6 hrs for the whole job
3/6+3/x=1
3/x=3/6
x=6

Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
Ker's rate,
Kan's rate,
Ker AND Kan,


-


----------------Kan can also do the one job alone in 6 hours.
Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.

Ker and Kan, working together, make  of the job per hour.


Ker alone makes    of the job per hour.


Hence, Kan alone makes   -  =  -  of the job per hour.


Hence, Kan will complete the job in 6 hours, working alone.    ANSWER

Solved.

----------------

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 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.


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