Rates Teaching Research Project NGCSU Math-Educators: (Form W) Circle One: Poitevint / Sinn / Spence

Transcription

1 Rates Teaching Research Project NGCSU Math-Educators: (Form W) Circle One: Poitevint / Sinn / Spence Directions Please solve each problem completely. Show all work. You may write words as well as equations and symbols. Names 1. Duflotch and Dipstick paint houses. If Duflotch can paint all the walls in a house in 4 days but Dipstick needs 6 days on average, how long will it take them to paint 5 houses working together on both of them? 2. Joe and Matt decide to start a landscaping business together. Most of the homes in their neighborhood have similarly-sized lawns. Typically, Joe can mow a lawn and trim all the shrubs in 3 hours. Matt usually needs 2 hours to do the same job. They decide to work together on 5 lawns. How long does it take them to finish?

2 3. Lieutenant Whorf's pet Targh has gotten loose aboard the starship Enterprise and made a mess of 14 rooms. Commander Data has offered his assistance in the cleaning the rooms up. Data quickly computes in his head that it will take Whorf approximately 6 hours to clean 5 rooms, while Data believes he can clean 3 rooms every 2 hours. How long will it take them, if they work together, to clean 14 rooms? 4. Katie and Sarah are the strike force on the varsity soccer team. Last season, Katie scored 5 goals every 12 games, while Sarah scored a goal every 3 games. If they continue to score at the same rate, how many games will it to take this duo to score 15 goals next season?

3 5. Maria and Dusti are decorating the gym with helium-filled balloons for the dance. Maria can inflate, tie off and attach a ribbon to 7 ballons every 6 minutes. Dusti requires 3 minutes to finish 4 balloons. Working together, how long will it take them have a batch of 25 balloons ready? 6. Frank and Gary deliver Coke products. On typical routes in metro Atlanta, Frank can stock 7 convenience stores in 6 hours, while Gary can stock 3 stores every 2 hours. Their coworker Harry is out sick, so they work together to cover Harry's 12 stores. How long does it take them to stock all the stores?

4 7. Mary and Joseph work in a chair factory. Mary can assemble 2 chairs in 3 hours while Joseph can assemble 7 chairs in 6 hours. How many hours will they need if they work together to fill an order of 22 chairs? 8. One filtration machine at a water processing plant will take 6 hours to purify 5 tanks of water. Another older machine is less sophisticated and will take 3 hours to purify 2 tanks of water. If both machines are used simultaneously, how long will it take to purify 5 tanks of water?

5 9. Mary and Joseph work in a chair factory. Mary can assemble 5 chairs in 8 hours while Joseph can assemble 5 chairs in 4 hours. How many hours will they need if they work together to fill an order of 15 chairs? 10. Lieutenant Whorf's pet Targh has gotten loose aboard the starship Enterprise and made a mess of 26 rooms. Commander Data has offered his assistance in the cleaning the rooms up. Data quickly computes in his head that it will take him approximately 5 hours to clean 4 rooms, while Data believes Whorf can clean 1 room every 2 hours. How long will it take them, if they work together, to clean all 26 rooms?

6 11. Jellyfish Fields is experiencing an epidemic, and all the jellyfish are dying. Spongebob and Patrick want to catch the few that are left in order to treat and save them. Spongebob could catch all the remaining jellyfish in 4 days working by himself. Patrick would need 6 days to catch the jellyfish. How long will it take them if they work together? 12. Sandy and Phil are data entry clerks. Sandy can enter 3 records into the computer in 4 minutes. Phil takes 12 minutes to enter 5 records. There are 35 records that need to be entered near the end of the day. If Sandy and Phil work simultaneously, how quickly will the job be finished?

7 13. Sally and Will are finishers at the car wash, wiping down cars and cleaning interiors after the cars have been through the automatic washer. Sally can finish an SUV every 6 minutes. Will can finish an SUV every 4 minutes. On a busy day at the car wash, they work together to finish 5 SUV's. How many minutes does it take them? 14. Maria and Dusti are decorating the gym with helium-filled balloons for the dance. Maria can inflate, tie off and attach a ribbon to 8 ballons every 3 minutes. Dusti requires only 4 minutes to finish 3 balloons. Working together, how long will it take them have a batch of 36 balloons ready?