SOLUTION: Hi one team of workers completes a job in 10 days, while another team completes it in 8 days. The first team worked alone for 1 day. Then the second team joined and finished the

Question 1143847: Hi
one team of workers completes a job in 10 days, while another team completes it in 8 days. The first team worked alone for 1 day. Then the second team joined and finished the job in N days. What is the value of N.
thanks
Found 3 solutions by greenestamps, josgarithmetic, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Working together the whole time, the number of days it would have taken to do the job is

But in the beginning only the first team worked for 1 day, completing 1/10 of the job. Since only 9/10 of the job remains, the number of days it takes the two team together to finish the job is

ANSWER: N = 4
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
OneTeam
AnotherTeam
CombinedTeams

--

The actual work done described:
Solve for N.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

One team of workers can complete the job in 10 days -- hence, the rate of work of this team is of the job per day. The other team of workers can complete the job in 8 days -- hence, the rate of work of the other team is of the job per day. The combined rate of work of two teams working together is = = of the job per day. After working first day, the first team completed of the job -- hence, of the job remained to do. Working at the combined rate of the job per day, the two team need = = 4 days to complete the job. Thus "N", the number of days under the question is 4: N= 4. 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.

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