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

Algebra ->  Rate-of-work-word-problems -> 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       Log On


   



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(52752) About Me  (Show Source):
You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Your equation is 


1%2Fx+%2B+1%2F%28x%2B1%29 = 1%2F5.


1%2Fx is the rate of work of the first man.
1%2F%28x%2B1%29 is the rate of work of the second man.

1%2F5 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 

10x+%2B+5 = x%5E2+%2Bx,

x%5E2+-9x+-5 = 0.

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.