SOLUTION: One company can clear a parcel of land in 25 hours. Another company requires 30 hours to do the job. If both are hired, how long with it take to clear the parcel working together?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: One company can clear a parcel of land in 25 hours. Another company requires 30 hours to do the job. If both are hired, how long with it take to clear the parcel working together?       Log On


   

Question 1111475: One company can clear a parcel of land in 25 hours. Another company requires 30 hours to do the job. If both are hired, how long with it take to clear the parcel working together?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One company can clear a parcel of land in 25 hours. Another company requires 30 hours to do the job. If both are hired, how long with it take to clear the parcel working together?
1st company DATA:
time = 25 hr/job ; rate = 1/25 job/hr
-----
2nd company DATA:
time = 30 hr/job ; rate = 1/30 job/hr
-----------
together DATA:
rate = (1/25)+(1/30) = (30+25)/(25*30) = 55/(25*30) = 11/150 job/hr
------
Ans: time to do the job together = 150/11 = 13.64 hrs/job = 13 hr + 38 min
----------
Cheers,
Stan H.
-----------
-------