SOLUTION: A man finish work in x hours another man needs 1 hour more to finish the work if they work together finish the work 5 hours how many hours does it take the first man to finish the

Question 1024802: A man finish work in x hours another man needs 1 hour more to finish the work if they work together finish the work 5 hours how many hours does it take the first man to finish the work?
Answer by ikleyn(52754) (Show Source): You can put this solution on YOUR website!
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A man finish work in x hours. Another man needs 1 hour more to finish the work.
If they work together finish the work 5 hours. How many hours does it take the first man to finish the work?
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Your equation is 


 = .


 is the rate of work of the first man.
 is the rate of work of the second man.

 is their combined rate of work.

To solve (1), multiply both sides by 5*x*(x+1). You will get

5(x+1) + 5x = x*(x+1).

Simplify and solve 

 = ,

 = .

Now apply the quadratic formula to find the solution.

Regarding many others word problems on rate of work and joint work, 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.
in this site.

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