SOLUTION: Working together, two people can cut out a large lawn in 2 hr. One person can do the job alone in 1 hr less than the other? How long (to the nearest tenth) would it take the faster

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Working together, two people can cut out a large lawn in 2 hr. One person can do the job alone in 1 hr less than the other? How long (to the nearest tenth) would it take the faster      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1054857: Working together, two people can cut out a large lawn in 2 hr. One person can do the job alone in 1 hr less than the other? How long (to the nearest tenth) would it take the faster worker to do the job? (Let x representthe time of the faster worker).
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!

                   RATES, JOB%2FHOUR

WORKER               1%2F%28x%2B1%29

FASTER WORKER        1%2Fx

BOTH TOGETHER         1%2F2

Some care in reading is necessary to figure which is the rate for the fast worker and how to manage the given numeric description. The faster worker is he who can do the job in ONE HOUR LESS TIME than the "other person".

Rate of both working together become sum of the individual rates.
1%2F%28x%2B1%29%2B1%2Fx=1%2F2
Multiply both sides by 2x%28x%2B1%29, which is the simplest or lowest common denominator, and simplify before solving for x.