SOLUTION: blueberry can do a certain job in 10 hours and cheescake can do it in 12 hours. after blueberry and cheesecake have been working together for 1 hour, Duhat joins them, and the thre

Question 1022901: blueberry can do a certain job in 10 hours and cheescake can do it in 12 hours. after blueberry and cheesecake have been working together for 1 hour, Duhat joins them, and the three completed the job in 3 more hours. How long will it take duhat to do the job alone?
Answer by josgarithmetic(39615) (Show Source): You can put this solution on YOUR website!

PERSON                 RATES in JOBS/HOUR

blueberry                 

cheesecake                

blueberry&cheesecake     

duhat

Work rates rule, RT=J relates rate, time, and amount of job or jobs.

The ONE job was split into two time parts, in 1 hour and 3 hour parts. Only one variable is unknown when the data formed into an equation.

-----not the answer; but the equation which will contain the answer, once solved for x.

ALGEBRAIC SOLVING STEPS

------hours for duhat to do one job alone.*

* Mistake fixed.
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