SOLUTION: Dawn is a sefood chef and can stuff a large party of shrimp in 6 hours. If her brother helps her, they can stuff the large party pack of shrimp in 4 hours. If Dawn gets sick, how l

Click here to see ALL problems on Miscellaneous Word Problems

Question 261279: Dawn is a sefood chef and can stuff a large party of shrimp in 6 hours. If her brother helps her, they can stuff the large party pack of shrimp in 4 hours. If Dawn gets sick, how long would it take her brother to stuff the large party of shrimp himself?
Found 3 solutions by richwmiller, solver91311, josmiceli:
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website!
4/6+4/x=1
x=12
He can do it in 12 hours alone. In four hours the sister can do 2/3 of the job and he does 1/3 in four hours.

Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period.

So, working together, they can do

of the job in 1 time period.

Therefore, they can do the whole job in:

time periods.

You are given that and that the combined time is 4, so:

Solve for

John

Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website!
The key to this problem is:
(Dawn's rate of stuffing) + (Brother's rate of stuffing)
= (their rate stuffing together)
The rates are in units of (large party packs)/hour
Dawn's rate =
Let = Brother's rate of stuffing
given:

Multiply both sides by

The brother stuffs 1 party pack in 12 hrs working alone