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

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) (Show Source): You can put this solution on YOUR website!


                   RATES, 

WORKER               

FASTER WORKER        

BOTH TOGETHER

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.

Multiply both sides by , which is the simplest or lowest common denominator, and simplify before solving for x.
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