
Word problem
so i missed this lesson and i cant seem to figure out what to do, ill just simplify the word problem....basically.
person 1 complete job in m5 minutes
person 2 completes the job in m minutes
person 3 completes the job in same amount of time as person 2
together they take 3.23 minutes to complete the job... how long does person 2 take to finish the job?
tanks in advance:)

You use this formula:
Can you give it a try?

i tried about 5 times and i cant seem to get the right answer. im thinking the answer at the back of the book is wrong. can someone give it a try?

word problem
Hi baffz,
Substitute the values in the given equation t1 = 5 , t2 =m, t3 = m and the sum =1/3.23 and yes 2 and 3 are slow workers
bjh

wouldnt i sub in m5 into t1?

Hello, Baffz!
Here is the reasoning behind that mysterious equation . . .
Person does the job in minues.
. . In one minute, he can do of the job.
(Note that )
Person does the job in minutes.
. . In one minute, he can do of the job.
Person does the job in minutes.
. . In one minute, he can do of the job.
Working together for one minute, they can do: . of the job. .[1]
We are told that, working together, they do the job is 3.23 minutes.
. . In one minute, they can do of the job. .[2]
We just described the amount of work done in one minute in two ways.
Equate [1] and [2]: .
. . There is our equation!
Multiply by
. .
This simplifies to: .
Quadratic Formula:
. .
. . . . .
Take the larger value: .
Working alone, person would take 12 minutes to do the job.

Sorry baffz I misread the time for person 1 .It would have been clearer if the times for each were expressed in t and t5
bjh

thanks soroban thats the correct answer but im not understanding why i multiply by 3.23m(m5)?
EDIT: is it because those are the denominators?

Yes, to remove all the fractions.