.
Working together, Bob and Andrew make of the job per hour.
Working alone, Bob makes of the job per hour.
Hence, working alone, Andrew makes - = = of the job per hour.
It means that Andrew needs hours = hours = 6 hours and 40 minutes to complete the job working alone. Answer
Solved.
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The lessons to learn from this solution :
1) You can solve this problem/(such problems) even without using equations.
Freely manipulating with fractions is enough.
2) Use the notion "rate of work" and remember:
a) when two persons work together, their combined rate of work is the sum of individual rates;
b) when the combined rate of two workers is given along with the rate of one of them, the rate
of the other worker is the difference of combined rate and the given individual rate.
Very simple rules, and they allow to solve MANY OF SIMILAR PROBLEMS.
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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.