SOLUTION: Isaac alone can do a piece of work in 5 days, and his wife, Esther also can do it in 8days.if they work together, how long will it take them to complete the job.

Question 1095596: Isaac alone can do a piece of work in 5 days, and his wife, Esther also can do it in 8days.if they work together, how long will it take them to complete the job.
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Isaac alone can do a piece of work in 5 days, and his wife, Esther also can do it in 8days.
if they work together, how long will it take them to complete the job.
:
let t = time required when working together
let the completed job = 1
:
Each will do a fraction of the job, the two fractions add up to 1
+ = 1
multiply equation by the least common multiple of 5 and 8
40* + 40* = 40
Cancel the denominators
8t + 5t = 40
13t = 40
t = 40/13
t = 3.077 days
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Isaac's rate of work is of the job per day. Esther's rate of work is of the job per day. Their combined rate of work is the sum of individual rates + = + = of the job per day. Hence, it will take = days for them to complete the job working together.

---------------
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.

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