SOLUTION: Olive has a report to type which is 10,000 words long. She can type at an average speed of 50 words per minute. Her friend George can type at 60 words per minute. She gives Georg

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Olive has a report to type which is 10,000 words long. She can type at an average speed of 50 words per minute. Her friend George can type at 60 words per minute. She gives Georg      Log On


   



Question 840515: Olive has a report to type which is 10,000 words long. She can type at an
average speed of 50 words per minute. Her friend George can type at 60 words
per minute. She gives George 3/5 of the report to type while she types the
remainder. How long will it take now to type the report?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The 10000 words are split into 2/5 and 3/5; so (2/5)10000 go to Olive and (3/5)10000 words go to George.

George: 6000 words
Olive: 4000 words

R%2At=w, Rate, time, words
t=w%2FR, each time portion is done separately, nonsimultaneously.

%286000%2F60%2B4000%2F50%29%2Aminutes=t%2Aminutes
100%2B400%2F5
highlight%28180%29 minutes