SOLUTION: Jake can wash a car in 20 minutes, while Harold can wash the same car in 25 minutes. How long will it take them to wash the car if they work together? ​

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Question 1121945: Jake can wash a car in 20 minutes, while Harold can wash the same car in 25 minutes. How long will it take them to wash the car if they work together?
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Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
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Jake can wash a car in 20 minutes, while Harold can wash the same car in 25 minutes. How long will it take them to wash the car if they work together?
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Jake can DO 1 JOB in j minutes, while Harold can DO THE SAME 1 JOB in h minutes. How long will it take them to DO THIS 1 JOB if they work together?
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OR
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Jake makes    of the job per minute.


Harold makes    of the job per minute.


Working together, they make   +  =  +  =  of the job per minute.


It means that they complete washing one car in  =  minutes working together.

Solved.

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It is a typical and standard 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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