SOLUTION: A can do a piece of work in 12 days while B can do the work in 18 days both began to the work together but a left after 4 days how many days will B take to finish the remaining job

Question 1127012: A can do a piece of work in 12 days while B can do the work in 18 days both began to the work together but a left after 4 days how many days will B take to finish the remaining job ?
Found 3 solutions by josmiceli, ikleyn, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
A's rate of working:
[ 1 job ] / [ 12 days ]
B's rate of working:
[ 1 job ] / [ 18 days ]
-------------------------
Let = fraction of job completed
with both working for 4 days:

Multiply both sides by

That means there is
of the job left to do
Let = time in days for B to finish:

It will take B 8 days to finish the job working alone

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

In 4 days A completed of the job; at the same time B completed = of the job, so working together 4 days, our workers A and B completed = = of the job. Hence, of the job remained to be done. The rate of work for B is of the job per day. Therefore, B needs = = 4*2 = 8 days to complete the remained job working alone. ANSWER

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 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.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

A can do a piece of work in 12 days while B can do the work in 18 days both began to the work together but a left after 4 days how many days will B take to finish the remaining job ?

B will take to complete the remaining work.
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