Kevin stuffs shrimp in his job as a seafood chef. He can stuff 1,000 shrimp in 4 hours. When his
sister helps him, they can stuff 1,000 shrimp in 3 hours. If Kevin gets sick, how long will it take
his sister to stuff 500 shrimp?
Please solve and EXPLAIN.
Solution
Kevin stuffs shrimp in his job as a seafood chef. He can stuff 1,000 shrimp in 4 hours. When his
sister helps him, they can stuff 1,000 shrimp in 3 hours. If Kevin gets sick, how long will it take
his sister to stuff 500 shrimp?
Kevin\'s Rate = 1000 Shrimp / 4 hours = 250 Shrimp / hour
Sisters Rate = x shrimp per hour
Together: 1000 Shrimp / 3 hours = 333.3 shrimp per hour.
Kevin\'s Rate + Sisters Rate = Total Rate
250 + x = 333.3
Subtract 250 from both sides
x = sisters rate = 83.3 shrimp per hour.
To do 500 Shrimp = 500 Shrimp / 83.3 shrimp per hour = 6 hours.
How Long for Sister to Stuff 500 Shrimp if Kevin is Sick
1. Kevin stuffs shrimp in his job as a seafood chef. He can stuff 1,000 shrimp in 4 hours. When his
sister helps him, they can stuff 1,000 shrimp in 3 hours. If Kevin gets sick, how long will it take
his sister to stuff 500 shrimp?
Please solve and EXPLAIN.
Solution
Kevin stuffs shrimp in his job as a seafood chef. He can stuff 1,000 shrimp in 4 hours. When his
sister helps him, they can stuff 1,000 shrimp in 3 hours. If Kevin gets sick, how long will it take
his sister to stuff 500 shrimp?
Kevin's Rate = 1000 Shrimp / 4 hours = 250 Shrimp / hour
Sisters Rate = x shrimp per hour
Together: 1000 Shrimp / 3 hours = 333.3 shrimp per hour.
Kevin's Rate + Sisters Rate = Total Rate
250 + x = 333.3
Subtract 250 from both sides
x = sisters rate = 83.3 shrimp per hour.
To do 500 Shrimp = 500 Shrimp / 83.3 shrimp per hour = 6 hours
