SOLUTION: Kevin stuffs shrimp in his job as a seafood chef. He can stuff 1,300 shrimp in 4 hours. When his sister helps him, they can stuff 1,300 shrimp in 3 hours. If Kevin gets sick, how l

Question 1133711: Kevin stuffs shrimp in his job as a seafood chef. He can stuff 1,300 shrimp in 4 hours. When his sister helps him, they can stuff 1,300 shrimp in 3 hours. If Kevin gets sick, how long will it take his sister to stuff 650 shrimp?
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Kevin does 325 shrimp per hour
with his sister, they do 433.3 shrimp an hour
Therefore, his sister stuffs 108.3 shrimp per hour
650/108.33=6 hours.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

A solution by a very different method....

Admittedly, not many people will solve the problem this way; but it works for me.

When Kevin's sister helps him, stuffing 1300 shrimp takes 3/4 as long.
That means together they work 4/3 as fast as Kevin alone.
That means his sister works 1/3 as fast as Kevin.
So his sister alone would take 4*3=12 hours to stuff 1300 shrimp.
And so it would take her 6 hours to stuff 650 shrimp (half of 1300).

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