SOLUTION: Sam stuffs shrimp in his job as a seafood chef. He can stuff 1000 shrimp in 6 hours. When his sister helps him, they can stuff 1000 shrimp in 4 hours. If sam gets sick, how long wi

Question 97852: Sam stuffs shrimp in his job as a seafood chef. He can stuff 1000 shrimp in 6 hours. When his sister helps him, they can stuff 1000 shrimp in 4 hours. If sam gets sick, how long will it take his sister to stuff 500 shrimp

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=the rate at which his sister stuffs shrimp--once we know this, it will be easy to find how long it takes her to stuff 500 shrimp

We are told that Sam stuffs shrimp at the rate of (1000/6) shrimp per hour
We are also told that together, Sam and his sister can stuff shrimp at the rate of (1000/4) shrimp per hr.
So, (x+1000/6)=1000/4 subtract 1000/6 from both sides
x=(1000/4-1000/6)=(3000/12-2000/12)=1000/12 shrimp per hr and this of course means that she can stuff 1000 shrimp in 12 hours or 500 shrimp in 6 hours

Hope this helps---ptaylor

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