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John takes 8 hours to paint his room. After working for one hour, he called a painter
to help him. Working together, they finished the job in 3 more hours.
How long would it take for the painter to finish the job if he had worked alone?
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Notice that John worked, in all, 1 + 3 = 4 hours; hence, John made half of the entire lob.
The helper made the other half of the job working 3 hours.
Hence, this helper could make the entire job in 6 hours, working alone. ANSWER
Solved.
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On joint work problems, see the lessons
- Rate of work problems
- Using Fractions to solve word problems on joint work
- Solving more complicated word problems on joint work
- Using quadratic equations to solve word problems on joint work
- Solving rate of work problem by reducing to a system of linear equations
- Solving joint work problems by reasoning
- Selected joint-work word problems from the archive
- Joint-work problems for 3 participants
- HOW TO algebreze and solve these joint work problems ?
- Had there were more workers, the job would be completed sooner
- One unusual joint work problem
- Very unexpected problem on rate of work - HOW TO setup and HOW TO solve
- Special joint work problems that admit and require an alternative solution method
- Joint work word problems for the day of April, 1
- OVERVIEW of lessons on rate-of-work problems
in this site.